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Finding the Fourth Proportional to 34,576.75, 51,865.17 and 9,616.80

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Solution

The fourth proportional to 34,576.75, 51,865.17 and 9,616.80 is: 14,425.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,576.75 : 51,865.17 = 9,616.80 : x
  2. Step 2: Convert to fraction form
    34,576.75/51,865.17 = 9,616.80/x
  3. Step 3: Cross multiply
    34,576.75x = 51,865.17 × 9,616.80
  4. Step 4: Simplify right side
    34,576.75x = 498,776,966.86
  5. Step 5: Solve for x
    x = 498,776,966.86/34,576.75
  6. Step 6: Final answer
    x = 14,425.21

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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.