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Finding the Fourth Proportional to 9,141.97, 13,712.95 and 2,216.47

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Solution

The fourth proportional to 9,141.97, 13,712.95 and 2,216.47 is: 3,324.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.97 : 13,712.95 = 2,216.47 : x
  2. Step 2: Convert to fraction form
    9,141.97/13,712.95 = 2,216.47/x
  3. Step 3: Cross multiply
    9,141.97x = 13,712.95 × 2,216.47
  4. Step 4: Simplify right side
    9,141.97x = 30,394,347.83
  5. Step 5: Solve for x
    x = 30,394,347.83/9,141.97
  6. Step 6: Final answer
    x = 3,324.70

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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.