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Finding the Fourth Proportional to 7,200.19, 9,932.47 and 4,958.18

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Solution

The fourth proportional to 7,200.19, 9,932.47 and 4,958.18 is: 6,839.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,200.19 : 9,932.47 = 4,958.18 : x
  2. Step 2: Convert to fraction form
    7,200.19/9,932.47 = 4,958.18/x
  3. Step 3: Cross multiply
    7,200.19x = 9,932.47 × 4,958.18
  4. Step 4: Simplify right side
    7,200.19x = 49,246,974.10
  5. Step 5: Solve for x
    x = 49,246,974.10/7,200.19
  6. Step 6: Final answer
    x = 6,839.68

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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.