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Finding the Fourth Proportional to 23,201.04, 34,820 and 8,414.16

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Solution

The fourth proportional to 23,201.04, 34,820 and 8,414.16 is: 12,627.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,201.04 : 34,820 = 8,414.16 : x
  2. Step 2: Convert to fraction form
    23,201.04/34,820 = 8,414.16/x
  3. Step 3: Cross multiply
    23,201.04x = 34,820 × 8,414.16
  4. Step 4: Simplify right side
    23,201.04x = 292,981,051.20
  5. Step 5: Solve for x
    x = 292,981,051.20/23,201.04
  6. Step 6: Final answer
    x = 12,627.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.