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Finding the Fourth Proportional to 7,711.70, 10,642.20 and 4,174.94

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Solution

The fourth proportional to 7,711.70, 10,642.20 and 4,174.94 is: 5,761.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.70 : 10,642.20 = 4,174.94 : x
  2. Step 2: Convert to fraction form
    7,711.70/10,642.20 = 4,174.94/x
  3. Step 3: Cross multiply
    7,711.70x = 10,642.20 × 4,174.94
  4. Step 4: Simplify right side
    7,711.70x = 44,430,546.47
  5. Step 5: Solve for x
    x = 44,430,546.47/7,711.70
  6. Step 6: Final answer
    x = 5,761.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.