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Finding the Fourth Proportional to 22,795.83, 34,197.16 and 8,002.14

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Solution

The fourth proportional to 22,795.83, 34,197.16 and 8,002.14 is: 12,004.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,795.83 : 34,197.16 = 8,002.14 : x
  2. Step 2: Convert to fraction form
    22,795.83/34,197.16 = 8,002.14/x
  3. Step 3: Cross multiply
    22,795.83x = 34,197.16 × 8,002.14
  4. Step 4: Simplify right side
    22,795.83x = 273,650,543.55
  5. Step 5: Solve for x
    x = 273,650,543.55/22,795.83
  6. Step 6: Final answer
    x = 12,004.41

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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.