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Finding the Fourth Proportional to 10,690.38, 14,756.78 and 9,569.24

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Solution

The fourth proportional to 10,690.38, 14,756.78 and 9,569.24 is: 13,209.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,690.38 : 14,756.78 = 9,569.24 : x
  2. Step 2: Convert to fraction form
    10,690.38/14,756.78 = 9,569.24/x
  3. Step 3: Cross multiply
    10,690.38x = 14,756.78 × 9,569.24
  4. Step 4: Simplify right side
    10,690.38x = 141,211,174.92
  5. Step 5: Solve for x
    x = 141,211,174.92/10,690.38
  6. Step 6: Final answer
    x = 13,209.18

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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.