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Finding the Fourth Proportional to 7,242.88, 9,995.76 and 4,099.84

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Solution

The fourth proportional to 7,242.88, 9,995.76 and 4,099.84 is: 5,658.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,242.88 : 9,995.76 = 4,099.84 : x
  2. Step 2: Convert to fraction form
    7,242.88/9,995.76 = 4,099.84/x
  3. Step 3: Cross multiply
    7,242.88x = 9,995.76 × 4,099.84
  4. Step 4: Simplify right side
    7,242.88x = 40,981,016.68
  5. Step 5: Solve for x
    x = 40,981,016.68/7,242.88
  6. Step 6: Final answer
    x = 5,658.11

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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.