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Finding the Fourth Proportional to 10,173.87, 15,270.53 and 6,285.87

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Solution

The fourth proportional to 10,173.87, 15,270.53 and 6,285.87 is: 9,434.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,173.87 : 15,270.53 = 6,285.87 : x
  2. Step 2: Convert to fraction form
    10,173.87/15,270.53 = 6,285.87/x
  3. Step 3: Cross multiply
    10,173.87x = 15,270.53 × 6,285.87
  4. Step 4: Simplify right side
    10,173.87x = 95,988,534.98
  5. Step 5: Solve for x
    x = 95,988,534.98/10,173.87
  6. Step 6: Final answer
    x = 9,434.81

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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.