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Finding the Fourth Proportional to 22,844.64, 34,279.92 and 9,695.64

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Solution

The fourth proportional to 22,844.64, 34,279.92 and 9,695.64 is: 14,548.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,844.64 : 34,279.92 = 9,695.64 : x
  2. Step 2: Convert to fraction form
    22,844.64/34,279.92 = 9,695.64/x
  3. Step 3: Cross multiply
    22,844.64x = 34,279.92 × 9,695.64
  4. Step 4: Simplify right side
    22,844.64x = 332,365,763.55
  5. Step 5: Solve for x
    x = 332,365,763.55/22,844.64
  6. Step 6: Final answer
    x = 14,548.96

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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.