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Finding the Fourth Proportional to 11,658.96, 17,488.08 and 6,713.28

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Solution

The fourth proportional to 11,658.96, 17,488.08 and 6,713.28 is: 10,069.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,658.96 : 17,488.08 = 6,713.28 : x
  2. Step 2: Convert to fraction form
    11,658.96/17,488.08 = 6,713.28/x
  3. Step 3: Cross multiply
    11,658.96x = 17,488.08 × 6,713.28
  4. Step 4: Simplify right side
    11,658.96x = 117,402,377.70
  5. Step 5: Solve for x
    x = 117,402,377.70/11,658.96
  6. Step 6: Final answer
    x = 10,069.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.