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Finding the Fourth Proportional to 12,797.84, 17,658.68 and 7,132.44

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Solution

The fourth proportional to 12,797.84, 17,658.68 and 7,132.44 is: 9,841.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,797.84 : 17,658.68 = 7,132.44 : x
  2. Step 2: Convert to fraction form
    12,797.84/17,658.68 = 7,132.44/x
  3. Step 3: Cross multiply
    12,797.84x = 17,658.68 × 7,132.44
  4. Step 4: Simplify right side
    12,797.84x = 125,949,439.92
  5. Step 5: Solve for x
    x = 125,949,439.92/12,797.84
  6. Step 6: Final answer
    x = 9,841.46

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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.