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Finding the Fourth Proportional to 10,882.29, 16,314 and 6,490.50

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Solution

The fourth proportional to 10,882.29, 16,314 and 6,490.50 is: 9,730.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,882.29 : 16,314 = 6,490.50 : x
  2. Step 2: Convert to fraction form
    10,882.29/16,314 = 6,490.50/x
  3. Step 3: Cross multiply
    10,882.29x = 16,314 × 6,490.50
  4. Step 4: Simplify right side
    10,882.29x = 105,886,017
  5. Step 5: Solve for x
    x = 105,886,017/10,882.29
  6. Step 6: Final answer
    x = 9,730.12

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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.