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Finding the Fourth Proportional to 4,644.76, 6,409.64 and 2,548.76

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Solution

The fourth proportional to 4,644.76, 6,409.64 and 2,548.76 is: 3,517.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.76 : 6,409.64 = 2,548.76 : x
  2. Step 2: Convert to fraction form
    4,644.76/6,409.64 = 2,548.76/x
  3. Step 3: Cross multiply
    4,644.76x = 6,409.64 × 2,548.76
  4. Step 4: Simplify right side
    4,644.76x = 16,336,634.05
  5. Step 5: Solve for x
    x = 16,336,634.05/4,644.76
  6. Step 6: Final answer
    x = 3,517.22

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Find fourth proportional to 2,322.38, 3,204.82 and 1,274.38
Half scale
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Double scale
Find fourth proportional to 4,645.76, 6,411.02 and 2,549.76
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.