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Finding the Fourth Proportional to 10,569.29, 15,842.49 and 6,874.17

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Solution

The fourth proportional to 10,569.29, 15,842.49 and 6,874.17 is: 10,303.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,569.29 : 15,842.49 = 6,874.17 : x
  2. Step 2: Convert to fraction form
    10,569.29/15,842.49 = 6,874.17/x
  3. Step 3: Cross multiply
    10,569.29x = 15,842.49 × 6,874.17
  4. Step 4: Simplify right side
    10,569.29x = 108,903,969.48
  5. Step 5: Solve for x
    x = 108,903,969.48/10,569.29
  6. Step 6: Final answer
    x = 10,303.81

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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.