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Finding the Fourth Proportional to 7,097.22, 9,793.71 and 3,909.97

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Solution

The fourth proportional to 7,097.22, 9,793.71 and 3,909.97 is: 5,395.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.22 : 9,793.71 = 3,909.97 : x
  2. Step 2: Convert to fraction form
    7,097.22/9,793.71 = 3,909.97/x
  3. Step 3: Cross multiply
    7,097.22x = 9,793.71 × 3,909.97
  4. Step 4: Simplify right side
    7,097.22x = 38,293,124.53
  5. Step 5: Solve for x
    x = 38,293,124.53/7,097.22
  6. Step 6: Final answer
    x = 5,395.51

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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.