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Finding the Fourth Proportional to 7,221.60, 10,822.80 and 5,167.20

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Solution

The fourth proportional to 7,221.60, 10,822.80 and 5,167.20 is: 7,743.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,221.60 : 10,822.80 = 5,167.20 : x
  2. Step 2: Convert to fraction form
    7,221.60/10,822.80 = 5,167.20/x
  3. Step 3: Cross multiply
    7,221.60x = 10,822.80 × 5,167.20
  4. Step 4: Simplify right side
    7,221.60x = 55,923,572.16
  5. Step 5: Solve for x
    x = 55,923,572.16/7,221.60
  6. Step 6: Final answer
    x = 7,743.93

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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.