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Finding the Fourth Proportional to 10,227.56, 15,360.79 and 6,359

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Solution

The fourth proportional to 10,227.56, 15,360.79 and 6,359 is: 9,550.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,227.56 : 15,360.79 = 6,359 : x
  2. Step 2: Convert to fraction form
    10,227.56/15,360.79 = 6,359/x
  3. Step 3: Cross multiply
    10,227.56x = 15,360.79 × 6,359
  4. Step 4: Simplify right side
    10,227.56x = 97,679,263.61
  5. Step 5: Solve for x
    x = 97,679,263.61/10,227.56
  6. Step 6: Final answer
    x = 9,550.59

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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.