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Finding the Fourth Proportional to 11,384, 15,694.94 and 9,954.76

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Solution

The fourth proportional to 11,384, 15,694.94 and 9,954.76 is: 13,724.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,384 : 15,694.94 = 9,954.76 : x
  2. Step 2: Convert to fraction form
    11,384/15,694.94 = 9,954.76/x
  3. Step 3: Cross multiply
    11,384x = 15,694.94 × 9,954.76
  4. Step 4: Simplify right side
    11,384x = 156,239,360.91
  5. Step 5: Solve for x
    x = 156,239,360.91/11,384
  6. Step 6: Final answer
    x = 13,724.47

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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.