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Finding the Fourth Proportional to 9,251.92, 12,771.80 and 5,899.22

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Solution

The fourth proportional to 9,251.92, 12,771.80 and 5,899.22 is: 8,143.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,251.92 : 12,771.80 = 5,899.22 : x
  2. Step 2: Convert to fraction form
    9,251.92/12,771.80 = 5,899.22/x
  3. Step 3: Cross multiply
    9,251.92x = 12,771.80 × 5,899.22
  4. Step 4: Simplify right side
    9,251.92x = 75,343,658.00
  5. Step 5: Solve for x
    x = 75,343,658.00/9,251.92
  6. Step 6: Final answer
    x = 8,143.57

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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.