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Finding the Fourth Proportional to 5,007.42, 7,512.20 and 1,497.70

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Solution

The fourth proportional to 5,007.42, 7,512.20 and 1,497.70 is: 2,246.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,007.42 : 7,512.20 = 1,497.70 : x
  2. Step 2: Convert to fraction form
    5,007.42/7,512.20 = 1,497.70/x
  3. Step 3: Cross multiply
    5,007.42x = 7,512.20 × 1,497.70
  4. Step 4: Simplify right side
    5,007.42x = 11,251,006.90
  5. Step 5: Solve for x
    x = 11,251,006.90/5,007.42
  6. Step 6: Final answer
    x = 2,246.87

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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.