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Finding the Fourth Proportional to 22,980.75, 34,474.09 and 8,193.93

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Solution

The fourth proportional to 22,980.75, 34,474.09 and 8,193.93 is: 12,291.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,980.75 : 34,474.09 = 8,193.93 : x
  2. Step 2: Convert to fraction form
    22,980.75/34,474.09 = 8,193.93/x
  3. Step 3: Cross multiply
    22,980.75x = 34,474.09 × 8,193.93
  4. Step 4: Simplify right side
    22,980.75x = 282,478,280.27
  5. Step 5: Solve for x
    x = 282,478,280.27/22,980.75
  6. Step 6: Final answer
    x = 12,291.95

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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.