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Finding the Fourth Proportional to 10,573.97, 15,868.13 and 5,647.14

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Solution

The fourth proportional to 10,573.97, 15,868.13 and 5,647.14 is: 8,474.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,573.97 : 15,868.13 = 5,647.14 : x
  2. Step 2: Convert to fraction form
    10,573.97/15,868.13 = 5,647.14/x
  3. Step 3: Cross multiply
    10,573.97x = 15,868.13 × 5,647.14
  4. Step 4: Simplify right side
    10,573.97x = 89,609,523.41
  5. Step 5: Solve for x
    x = 89,609,523.41/10,573.97
  6. Step 6: Final answer
    x = 8,474.54

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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.