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Finding the Fourth Proportional to 7,792.26, 11,691.12 and 4,867.14

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Solution

The fourth proportional to 7,792.26, 11,691.12 and 4,867.14 is: 7,302.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,792.26 : 11,691.12 = 4,867.14 : x
  2. Step 2: Convert to fraction form
    7,792.26/11,691.12 = 4,867.14/x
  3. Step 3: Cross multiply
    7,792.26x = 11,691.12 × 4,867.14
  4. Step 4: Simplify right side
    7,792.26x = 56,902,317.80
  5. Step 5: Solve for x
    x = 56,902,317.80/7,792.26
  6. Step 6: Final answer
    x = 7,302.42

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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.