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Finding the Fourth Proportional to 11,396.52, 15,722.82 and 6,679.08

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Solution

The fourth proportional to 11,396.52, 15,722.82 and 6,679.08 is: 9,214.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,396.52 : 15,722.82 = 6,679.08 : x
  2. Step 2: Convert to fraction form
    11,396.52/15,722.82 = 6,679.08/x
  3. Step 3: Cross multiply
    11,396.52x = 15,722.82 × 6,679.08
  4. Step 4: Simplify right side
    11,396.52x = 105,013,972.61
  5. Step 5: Solve for x
    x = 105,013,972.61/11,396.52
  6. Step 6: Final answer
    x = 9,214.56

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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.