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Finding the Fourth Proportional to 15,713.16, 23,591.61 and 7,927.44

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Solution

The fourth proportional to 15,713.16, 23,591.61 and 7,927.44 is: 11,902.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,713.16 : 23,591.61 = 7,927.44 : x
  2. Step 2: Convert to fraction form
    15,713.16/23,591.61 = 7,927.44/x
  3. Step 3: Cross multiply
    15,713.16x = 23,591.61 × 7,927.44
  4. Step 4: Simplify right side
    15,713.16x = 187,021,072.78
  5. Step 5: Solve for x
    x = 187,021,072.78/15,713.16
  6. Step 6: Final answer
    x = 11,902.19

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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.