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Finding the Fourth Proportional to 22,971.57, 34,458.65 and 8,180.49

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Solution

The fourth proportional to 22,971.57, 34,458.65 and 8,180.49 is: 12,271.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,971.57 : 34,458.65 = 8,180.49 : x
  2. Step 2: Convert to fraction form
    22,971.57/34,458.65 = 8,180.49/x
  3. Step 3: Cross multiply
    22,971.57x = 34,458.65 × 8,180.49
  4. Step 4: Simplify right side
    22,971.57x = 281,888,448.99
  5. Step 5: Solve for x
    x = 281,888,448.99/22,971.57
  6. Step 6: Final answer
    x = 12,271.19

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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.