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Finding the Fourth Proportional to 7,193.92, 9,926.89 and 5,306.52

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Solution

The fourth proportional to 7,193.92, 9,926.89 and 5,306.52 is: 7,322.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,193.92 : 9,926.89 = 5,306.52 : x
  2. Step 2: Convert to fraction form
    7,193.92/9,926.89 = 5,306.52/x
  3. Step 3: Cross multiply
    7,193.92x = 9,926.89 × 5,306.52
  4. Step 4: Simplify right side
    7,193.92x = 52,677,202.24
  5. Step 5: Solve for x
    x = 52,677,202.24/7,193.92
  6. Step 6: Final answer
    x = 7,322.47

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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.