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Finding the Fourth Proportional to 15,146.25, 20,901.84 and 8,522.25

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Solution

The fourth proportional to 15,146.25, 20,901.84 and 8,522.25 is: 11,760.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,146.25 : 20,901.84 = 8,522.25 : x
  2. Step 2: Convert to fraction form
    15,146.25/20,901.84 = 8,522.25/x
  3. Step 3: Cross multiply
    15,146.25x = 20,901.84 × 8,522.25
  4. Step 4: Simplify right side
    15,146.25x = 178,130,705.94
  5. Step 5: Solve for x
    x = 178,130,705.94/15,146.25
  6. Step 6: Final answer
    x = 11,760.71

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Double scale
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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.