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Finding the Fourth Proportional to 11,494.84, 15,863.68 and 7,724.28

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Solution

The fourth proportional to 11,494.84, 15,863.68 and 7,724.28 is: 10,660.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,494.84 : 15,863.68 = 7,724.28 : x
  2. Step 2: Convert to fraction form
    11,494.84/15,863.68 = 7,724.28/x
  3. Step 3: Cross multiply
    11,494.84x = 15,863.68 × 7,724.28
  4. Step 4: Simplify right side
    11,494.84x = 122,535,506.15
  5. Step 5: Solve for x
    x = 122,535,506.15/11,494.84
  6. Step 6: Final answer
    x = 10,660.04

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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.