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Finding the Fourth Proportional to 10,318.40, 14,238.72 and 6,592

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Solution

The fourth proportional to 10,318.40, 14,238.72 and 6,592 is: 9,096.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,318.40 : 14,238.72 = 6,592 : x
  2. Step 2: Convert to fraction form
    10,318.40/14,238.72 = 6,592/x
  3. Step 3: Cross multiply
    10,318.40x = 14,238.72 × 6,592
  4. Step 4: Simplify right side
    10,318.40x = 93,861,642.24
  5. Step 5: Solve for x
    x = 93,861,642.24/10,318.40
  6. Step 6: Final answer
    x = 9,096.53

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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.