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Finding the Fourth Proportional to 11,404.26, 15,737.76 and 6,687.63

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Solution

The fourth proportional to 11,404.26, 15,737.76 and 6,687.63 is: 9,228.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,404.26 : 15,737.76 = 6,687.63 : x
  2. Step 2: Convert to fraction form
    11,404.26/15,737.76 = 6,687.63/x
  3. Step 3: Cross multiply
    11,404.26x = 15,737.76 × 6,687.63
  4. Step 4: Simplify right side
    11,404.26x = 105,248,315.91
  5. Step 5: Solve for x
    x = 105,248,315.91/11,404.26
  6. Step 6: Final answer
    x = 9,228.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.