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Finding the Fourth Proportional to 6,509.92, 9,755.16 and 4,565.92

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Solution

The fourth proportional to 6,509.92, 9,755.16 and 4,565.92 is: 6,842.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.92 : 9,755.16 = 4,565.92 : x
  2. Step 2: Convert to fraction form
    6,509.92/9,755.16 = 4,565.92/x
  3. Step 3: Cross multiply
    6,509.92x = 9,755.16 × 4,565.92
  4. Step 4: Simplify right side
    6,509.92x = 44,541,280.15
  5. Step 5: Solve for x
    x = 44,541,280.15/6,509.92
  6. Step 6: Final answer
    x = 6,842.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.