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Finding the Fourth Proportional to 10,689.98, 16,034.96 and 5,761.94

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Solution

The fourth proportional to 10,689.98, 16,034.96 and 5,761.94 is: 8,642.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.98 : 16,034.96 = 5,761.94 : x
  2. Step 2: Convert to fraction form
    10,689.98/16,034.96 = 5,761.94/x
  3. Step 3: Cross multiply
    10,689.98x = 16,034.96 × 5,761.94
  4. Step 4: Simplify right side
    10,689.98x = 92,392,411.65
  5. Step 5: Solve for x
    x = 92,392,411.65/10,689.98
  6. Step 6: Final answer
    x = 8,642.90

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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.