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Finding the Fourth Proportional to 7,657.32, 11,490.54 and 7,171.40

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Solution

The fourth proportional to 7,657.32, 11,490.54 and 7,171.40 is: 10,761.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.32 : 11,490.54 = 7,171.40 : x
  2. Step 2: Convert to fraction form
    7,657.32/11,490.54 = 7,171.40/x
  3. Step 3: Cross multiply
    7,657.32x = 11,490.54 × 7,171.40
  4. Step 4: Simplify right side
    7,657.32x = 82,403,258.56
  5. Step 5: Solve for x
    x = 82,403,258.56/7,657.32
  6. Step 6: Final answer
    x = 10,761.37

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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.