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Finding the Fourth Proportional to 12,034.38, 16,600.78 and 6,998.04

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Solution

The fourth proportional to 12,034.38, 16,600.78 and 6,998.04 is: 9,653.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,034.38 : 16,600.78 = 6,998.04 : x
  2. Step 2: Convert to fraction form
    12,034.38/16,600.78 = 6,998.04/x
  3. Step 3: Cross multiply
    12,034.38x = 16,600.78 × 6,998.04
  4. Step 4: Simplify right side
    12,034.38x = 116,172,922.47
  5. Step 5: Solve for x
    x = 116,172,922.47/12,034.38
  6. Step 6: Final answer
    x = 9,653.42

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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.