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Finding the Fourth Proportional to 6,131, 9,196.68 and 1,514

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Solution

The fourth proportional to 6,131, 9,196.68 and 1,514 is: 2,271.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,131 : 9,196.68 = 1,514 : x
  2. Step 2: Convert to fraction form
    6,131/9,196.68 = 1,514/x
  3. Step 3: Cross multiply
    6,131x = 9,196.68 × 1,514
  4. Step 4: Simplify right side
    6,131x = 13,923,773.52
  5. Step 5: Solve for x
    x = 13,923,773.52/6,131
  6. Step 6: Final answer
    x = 2,271.04

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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.