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Finding the Fourth Proportional to 22,873.78, 34,314.54 and 7,880.32

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Solution

The fourth proportional to 22,873.78, 34,314.54 and 7,880.32 is: 11,821.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,873.78 : 34,314.54 = 7,880.32 : x
  2. Step 2: Convert to fraction form
    22,873.78/34,314.54 = 7,880.32/x
  3. Step 3: Cross multiply
    22,873.78x = 34,314.54 × 7,880.32
  4. Step 4: Simplify right side
    22,873.78x = 270,409,555.85
  5. Step 5: Solve for x
    x = 270,409,555.85/22,873.78
  6. Step 6: Final answer
    x = 11,821.81

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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.