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Finding the Fourth Proportional to 7,706.10, 11,553.92 and 3,023.17

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Solution

The fourth proportional to 7,706.10, 11,553.92 and 3,023.17 is: 4,532.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.10 : 11,553.92 = 3,023.17 : x
  2. Step 2: Convert to fraction form
    7,706.10/11,553.92 = 3,023.17/x
  3. Step 3: Cross multiply
    7,706.10x = 11,553.92 × 3,023.17
  4. Step 4: Simplify right side
    7,706.10x = 34,929,464.33
  5. Step 5: Solve for x
    x = 34,929,464.33/7,706.10
  6. Step 6: Final answer
    x = 4,532.70

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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.