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Finding the Fourth Proportional to 6,501.43, 9,752.15 and 2,553.10

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Solution

The fourth proportional to 6,501.43, 9,752.15 and 2,553.10 is: 3,829.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501.43 : 9,752.15 = 2,553.10 : x
  2. Step 2: Convert to fraction form
    6,501.43/9,752.15 = 2,553.10/x
  3. Step 3: Cross multiply
    6,501.43x = 9,752.15 × 2,553.10
  4. Step 4: Simplify right side
    6,501.43x = 24,898,196.17
  5. Step 5: Solve for x
    x = 24,898,196.17/6,501.43
  6. Step 6: Final answer
    x = 3,829.65

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