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Finding the Fourth Proportional to 7,192.92, 9,926.46 and 4,049.16

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Solution

The fourth proportional to 7,192.92, 9,926.46 and 4,049.16 is: 5,587.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,192.92 : 9,926.46 = 4,049.16 : x
  2. Step 2: Convert to fraction form
    7,192.92/9,926.46 = 4,049.16/x
  3. Step 3: Cross multiply
    7,192.92x = 9,926.46 × 4,049.16
  4. Step 4: Simplify right side
    7,192.92x = 40,193,824.77
  5. Step 5: Solve for x
    x = 40,193,824.77/7,192.92
  6. Step 6: Final answer
    x = 5,587.97

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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.