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Finding the Fourth Proportional to 8,452.38, 11,665.38 and 5,224.20

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Solution

The fourth proportional to 8,452.38, 11,665.38 and 5,224.20 is: 7,210.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,452.38 : 11,665.38 = 5,224.20 : x
  2. Step 2: Convert to fraction form
    8,452.38/11,665.38 = 5,224.20/x
  3. Step 3: Cross multiply
    8,452.38x = 11,665.38 × 5,224.20
  4. Step 4: Simplify right side
    8,452.38x = 60,942,254.04
  5. Step 5: Solve for x
    x = 60,942,254.04/8,452.38
  6. Step 6: Final answer
    x = 7,210.07

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Half scale
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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.