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Finding the Fourth Proportional to 7,699.75, 11,549.17 and 2,152.97

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Solution

The fourth proportional to 7,699.75, 11,549.17 and 2,152.97 is: 3,229.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,699.75 : 11,549.17 = 2,152.97 : x
  2. Step 2: Convert to fraction form
    7,699.75/11,549.17 = 2,152.97/x
  3. Step 3: Cross multiply
    7,699.75x = 11,549.17 × 2,152.97
  4. Step 4: Simplify right side
    7,699.75x = 24,865,034.24
  5. Step 5: Solve for x
    x = 24,865,034.24/7,699.75
  6. Step 6: Final answer
    x = 3,229.33

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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.