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Finding the Fourth Proportional to 6,100.91, 9,151.97 and 1,658.65

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Solution

The fourth proportional to 6,100.91, 9,151.97 and 1,658.65 is: 2,488.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,100.91 : 9,151.97 = 1,658.65 : x
  2. Step 2: Convert to fraction form
    6,100.91/9,151.97 = 1,658.65/x
  3. Step 3: Cross multiply
    6,100.91x = 9,151.97 × 1,658.65
  4. Step 4: Simplify right side
    6,100.91x = 15,179,915.04
  5. Step 5: Solve for x
    x = 15,179,915.04/6,100.91
  6. Step 6: Final answer
    x = 2,488.14

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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.