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Finding the Fourth Proportional to 4,645.71, 6,411 and 2,549.82

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Solution

The fourth proportional to 4,645.71, 6,411 and 2,549.82 is: 3,518.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.71 : 6,411 = 2,549.82 : x
  2. Step 2: Convert to fraction form
    4,645.71/6,411 = 2,549.82/x
  3. Step 3: Cross multiply
    4,645.71x = 6,411 × 2,549.82
  4. Step 4: Simplify right side
    4,645.71x = 16,346,896.02
  5. Step 5: Solve for x
    x = 16,346,896.02/4,645.71
  6. Step 6: Final answer
    x = 3,518.71

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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.