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Finding the Fourth Proportional to 12,532.80, 17,294.18 and 7,228.02

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Solution

The fourth proportional to 12,532.80, 17,294.18 and 7,228.02 is: 9,974.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,532.80 : 17,294.18 = 7,228.02 : x
  2. Step 2: Convert to fraction form
    12,532.80/17,294.18 = 7,228.02/x
  3. Step 3: Cross multiply
    12,532.80x = 17,294.18 × 7,228.02
  4. Step 4: Simplify right side
    12,532.80x = 125,002,678.92
  5. Step 5: Solve for x
    x = 125,002,678.92/12,532.80
  6. Step 6: Final answer
    x = 9,974.04

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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.