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Finding the Fourth Proportional to 25,937.64, 38,905.92 and 8,407.44

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Solution

The fourth proportional to 25,937.64, 38,905.92 and 8,407.44 is: 12,610.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,937.64 : 38,905.92 = 8,407.44 : x
  2. Step 2: Convert to fraction form
    25,937.64/38,905.92 = 8,407.44/x
  3. Step 3: Cross multiply
    25,937.64x = 38,905.92 × 8,407.44
  4. Step 4: Simplify right side
    25,937.64x = 327,099,188.04
  5. Step 5: Solve for x
    x = 327,099,188.04/25,937.64
  6. Step 6: Final answer
    x = 12,610.98

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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.