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Finding the Fourth Proportional to 4,188.49, 6,322.10 and 4,188.49

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Solution

The fourth proportional to 4,188.49, 6,322.10 and 4,188.49 is: 6,322.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,188.49 : 6,322.10 = 4,188.49 : x
  2. Step 2: Convert to fraction form
    4,188.49/6,322.10 = 4,188.49/x
  3. Step 3: Cross multiply
    4,188.49x = 6,322.10 × 4,188.49
  4. Step 4: Simplify right side
    4,188.49x = 26,480,042.16
  5. Step 5: Solve for x
    x = 26,480,042.16/4,188.49
  6. Step 6: Final answer
    x = 6,322.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.