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Finding the Fourth Proportional to 25,693.80, 38,540.54 and 8,164.96

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Solution

The fourth proportional to 25,693.80, 38,540.54 and 8,164.96 is: 12,247.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,693.80 : 38,540.54 = 8,164.96 : x
  2. Step 2: Convert to fraction form
    25,693.80/38,540.54 = 8,164.96/x
  3. Step 3: Cross multiply
    25,693.80x = 38,540.54 × 8,164.96
  4. Step 4: Simplify right side
    25,693.80x = 314,681,967.48
  5. Step 5: Solve for x
    x = 314,681,967.48/25,693.80
  6. Step 6: Final answer
    x = 12,247.39

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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.