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Finding the Fourth Proportional to 12,397.53, 17,103.65 and 7,920.12

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Solution

The fourth proportional to 12,397.53, 17,103.65 and 7,920.12 is: 10,926.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,397.53 : 17,103.65 = 7,920.12 : x
  2. Step 2: Convert to fraction form
    12,397.53/17,103.65 = 7,920.12/x
  3. Step 3: Cross multiply
    12,397.53x = 17,103.65 × 7,920.12
  4. Step 4: Simplify right side
    12,397.53x = 135,462,920.84
  5. Step 5: Solve for x
    x = 135,462,920.84/12,397.53
  6. Step 6: Final answer
    x = 10,926.61

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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.