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Finding the Fourth Proportional to 25,605.68, 38,408.52 and 8,077.28

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Solution

The fourth proportional to 25,605.68, 38,408.52 and 8,077.28 is: 12,115.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,605.68 : 38,408.52 = 8,077.28 : x
  2. Step 2: Convert to fraction form
    25,605.68/38,408.52 = 8,077.28/x
  3. Step 3: Cross multiply
    25,605.68x = 38,408.52 × 8,077.28
  4. Step 4: Simplify right side
    25,605.68x = 310,236,370.43
  5. Step 5: Solve for x
    x = 310,236,370.43/25,605.68
  6. Step 6: Final answer
    x = 12,115.92

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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.