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Finding the Fourth Proportional to 9,761.54, 14,622.70 and 4,489.22

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Solution

The fourth proportional to 9,761.54, 14,622.70 and 4,489.22 is: 6,724.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.54 : 14,622.70 = 4,489.22 : x
  2. Step 2: Convert to fraction form
    9,761.54/14,622.70 = 4,489.22/x
  3. Step 3: Cross multiply
    9,761.54x = 14,622.70 × 4,489.22
  4. Step 4: Simplify right side
    9,761.54x = 65,644,568.14
  5. Step 5: Solve for x
    x = 65,644,568.14/9,761.54
  6. Step 6: Final answer
    x = 6,724.82

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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.