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Finding the Fourth Proportional to 11,888.91, 16,404.66 and 7,414.07

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Solution

The fourth proportional to 11,888.91, 16,404.66 and 7,414.07 is: 10,230.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,888.91 : 16,404.66 = 7,414.07 : x
  2. Step 2: Convert to fraction form
    11,888.91/16,404.66 = 7,414.07/x
  3. Step 3: Cross multiply
    11,888.91x = 16,404.66 × 7,414.07
  4. Step 4: Simplify right side
    11,888.91x = 121,625,215.54
  5. Step 5: Solve for x
    x = 121,625,215.54/11,888.91
  6. Step 6: Final answer
    x = 10,230.14

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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.