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Finding the Fourth Proportional to 7,686.70, 11,542.20 and 5,232.40

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Solution

The fourth proportional to 7,686.70, 11,542.20 and 5,232.40 is: 7,856.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686.70 : 11,542.20 = 5,232.40 : x
  2. Step 2: Convert to fraction form
    7,686.70/11,542.20 = 5,232.40/x
  3. Step 3: Cross multiply
    7,686.70x = 11,542.20 × 5,232.40
  4. Step 4: Simplify right side
    7,686.70x = 60,393,407.28
  5. Step 5: Solve for x
    x = 60,393,407.28/7,686.70
  6. Step 6: Final answer
    x = 7,856.87

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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.