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Finding the Fourth Proportional to 12,198.78, 16,834.17 and 7,417.14

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Solution

The fourth proportional to 12,198.78, 16,834.17 and 7,417.14 is: 10,235.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,198.78 : 16,834.17 = 7,417.14 : x
  2. Step 2: Convert to fraction form
    12,198.78/16,834.17 = 7,417.14/x
  3. Step 3: Cross multiply
    12,198.78x = 16,834.17 × 7,417.14
  4. Step 4: Simplify right side
    12,198.78x = 124,861,395.67
  5. Step 5: Solve for x
    x = 124,861,395.67/12,198.78
  6. Step 6: Final answer
    x = 10,235.56

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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.