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Finding the Fourth Proportional to 8,572.23, 11,833.99 and 8,114.38

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Solution

The fourth proportional to 8,572.23, 11,833.99 and 8,114.38 is: 11,201.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,572.23 : 11,833.99 = 8,114.38 : x
  2. Step 2: Convert to fraction form
    8,572.23/11,833.99 = 8,114.38/x
  3. Step 3: Cross multiply
    8,572.23x = 11,833.99 × 8,114.38
  4. Step 4: Simplify right side
    8,572.23x = 96,025,441.91
  5. Step 5: Solve for x
    x = 96,025,441.91/8,572.23
  6. Step 6: Final answer
    x = 11,201.92

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Half 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.