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Finding the Fourth Proportional to 6,304.92, 8,700.42 and 3,652.14

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Solution

The fourth proportional to 6,304.92, 8,700.42 and 3,652.14 is: 5,039.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,304.92 : 8,700.42 = 3,652.14 : x
  2. Step 2: Convert to fraction form
    6,304.92/8,700.42 = 3,652.14/x
  3. Step 3: Cross multiply
    6,304.92x = 8,700.42 × 3,652.14
  4. Step 4: Simplify right side
    6,304.92x = 31,775,151.90
  5. Step 5: Solve for x
    x = 31,775,151.90/6,304.92
  6. Step 6: Final answer
    x = 5,039.74

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Half scale
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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.