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Finding the Fourth Proportional to 8,408.08, 11,601.96 and 4,774

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Solution

The fourth proportional to 8,408.08, 11,601.96 and 4,774 is: 6,587.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,408.08 : 11,601.96 = 4,774 : x
  2. Step 2: Convert to fraction form
    8,408.08/11,601.96 = 4,774/x
  3. Step 3: Cross multiply
    8,408.08x = 11,601.96 × 4,774
  4. Step 4: Simplify right side
    8,408.08x = 55,387,757.04
  5. Step 5: Solve for x
    x = 55,387,757.04/8,408.08
  6. Step 6: Final answer
    x = 6,587.44

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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.