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Finding the Fourth Proportional to 4,948.96, 7,408.32 and 4,249.12

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Solution

The fourth proportional to 4,948.96, 7,408.32 and 4,249.12 is: 6,360.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,948.96 : 7,408.32 = 4,249.12 : x
  2. Step 2: Convert to fraction form
    4,948.96/7,408.32 = 4,249.12/x
  3. Step 3: Cross multiply
    4,948.96x = 7,408.32 × 4,249.12
  4. Step 4: Simplify right side
    4,948.96x = 31,478,840.68
  5. Step 5: Solve for x
    x = 31,478,840.68/4,948.96
  6. Step 6: Final answer
    x = 6,360.70

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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.