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Finding the Fourth Proportional to 9,168.44, 12,654.78 and 5,813.24

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Solution

The fourth proportional to 9,168.44, 12,654.78 and 5,813.24 is: 8,023.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,168.44 : 12,654.78 = 5,813.24 : x
  2. Step 2: Convert to fraction form
    9,168.44/12,654.78 = 5,813.24/x
  3. Step 3: Cross multiply
    9,168.44x = 12,654.78 × 5,813.24
  4. Step 4: Simplify right side
    9,168.44x = 73,565,273.29
  5. Step 5: Solve for x
    x = 73,565,273.29/9,168.44
  6. Step 6: Final answer
    x = 8,023.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.