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Finding the Fourth Proportional to 22,853.74, 34,285.74 and 8,062.78

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Solution

The fourth proportional to 22,853.74, 34,285.74 and 8,062.78 is: 12,095.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,853.74 : 34,285.74 = 8,062.78 : x
  2. Step 2: Convert to fraction form
    22,853.74/34,285.74 = 8,062.78/x
  3. Step 3: Cross multiply
    22,853.74x = 34,285.74 × 8,062.78
  4. Step 4: Simplify right side
    22,853.74x = 276,438,378.76
  5. Step 5: Solve for x
    x = 276,438,378.76/22,853.74
  6. Step 6: Final answer
    x = 12,095.98

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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.