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Finding the Fourth Proportional to 9,198.70, 12,693.84 and 5,006.95

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Solution

The fourth proportional to 9,198.70, 12,693.84 and 5,006.95 is: 6,909.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.70 : 12,693.84 = 5,006.95 : x
  2. Step 2: Convert to fraction form
    9,198.70/12,693.84 = 5,006.95/x
  3. Step 3: Cross multiply
    9,198.70x = 12,693.84 × 5,006.95
  4. Step 4: Simplify right side
    9,198.70x = 63,557,422.19
  5. Step 5: Solve for x
    x = 63,557,422.19/9,198.70
  6. Step 6: Final answer
    x = 6,909.39

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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.