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Finding the Fourth Proportional to 10,665.53, 15,992.92 and 6,224.71

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Solution

The fourth proportional to 10,665.53, 15,992.92 and 6,224.71 is: 9,333.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665.53 : 15,992.92 = 6,224.71 : x
  2. Step 2: Convert to fraction form
    10,665.53/15,992.92 = 6,224.71/x
  3. Step 3: Cross multiply
    10,665.53x = 15,992.92 × 6,224.71
  4. Step 4: Simplify right side
    10,665.53x = 99,551,289.05
  5. Step 5: Solve for x
    x = 99,551,289.05/10,665.53
  6. Step 6: Final answer
    x = 9,333.93

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1.5x scale

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.