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Finding the Fourth Proportional to 10,439.46, 15,654.57 and 7,505.50

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Solution

The fourth proportional to 10,439.46, 15,654.57 and 7,505.50 is: 11,254.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,439.46 : 15,654.57 = 7,505.50 : x
  2. Step 2: Convert to fraction form
    10,439.46/15,654.57 = 7,505.50/x
  3. Step 3: Cross multiply
    10,439.46x = 15,654.57 × 7,505.50
  4. Step 4: Simplify right side
    10,439.46x = 117,495,375.14
  5. Step 5: Solve for x
    x = 117,495,375.14/10,439.46
  6. Step 6: Final answer
    x = 11,254.93

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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.