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Finding the Fourth Proportional to 7,792.24, 11,691.12 and 4,867.16

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Solution

The fourth proportional to 7,792.24, 11,691.12 and 4,867.16 is: 7,302.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,792.24 : 11,691.12 = 4,867.16 : x
  2. Step 2: Convert to fraction form
    7,792.24/11,691.12 = 4,867.16/x
  3. Step 3: Cross multiply
    7,792.24x = 11,691.12 × 4,867.16
  4. Step 4: Simplify right side
    7,792.24x = 56,902,551.62
  5. Step 5: Solve for x
    x = 56,902,551.62/7,792.24
  6. Step 6: Final answer
    x = 7,302.46

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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.