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Finding the Fourth Proportional to 11,451.42, 15,806.07 and 6,737.22

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Solution

The fourth proportional to 11,451.42, 15,806.07 and 6,737.22 is: 9,299.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,451.42 : 15,806.07 = 6,737.22 : x
  2. Step 2: Convert to fraction form
    11,451.42/15,806.07 = 6,737.22/x
  3. Step 3: Cross multiply
    11,451.42x = 15,806.07 × 6,737.22
  4. Step 4: Simplify right side
    11,451.42x = 106,488,970.93
  5. Step 5: Solve for x
    x = 106,488,970.93/11,451.42
  6. Step 6: Final answer
    x = 9,299.19

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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.