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Finding the Fourth Proportional to 10,562.40, 15,837.78 and 7,234.46

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Solution

The fourth proportional to 10,562.40, 15,837.78 and 7,234.46 is: 10,847.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,562.40 : 15,837.78 = 7,234.46 : x
  2. Step 2: Convert to fraction form
    10,562.40/15,837.78 = 7,234.46/x
  3. Step 3: Cross multiply
    10,562.40x = 15,837.78 × 7,234.46
  4. Step 4: Simplify right side
    10,562.40x = 114,577,841.62
  5. Step 5: Solve for x
    x = 114,577,841.62/10,562.40
  6. Step 6: Final answer
    x = 10,847.71

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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.