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Finding the Fourth Proportional to 9,763.67, 13,474.11 and 5,988.92

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Solution

The fourth proportional to 9,763.67, 13,474.11 and 5,988.92 is: 8,264.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.67 : 13,474.11 = 5,988.92 : x
  2. Step 2: Convert to fraction form
    9,763.67/13,474.11 = 5,988.92/x
  3. Step 3: Cross multiply
    9,763.67x = 13,474.11 × 5,988.92
  4. Step 4: Simplify right side
    9,763.67x = 80,695,350.02
  5. Step 5: Solve for x
    x = 80,695,350.02/9,763.67
  6. Step 6: Final answer
    x = 8,264.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.