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Finding the Fourth Proportional to 4,961.64, 7,408.42 and 4,230.84

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Solution

The fourth proportional to 4,961.64, 7,408.42 and 4,230.84 is: 6,317.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,961.64 : 7,408.42 = 4,230.84 : x
  2. Step 2: Convert to fraction form
    4,961.64/7,408.42 = 4,230.84/x
  3. Step 3: Cross multiply
    4,961.64x = 7,408.42 × 4,230.84
  4. Step 4: Simplify right side
    4,961.64x = 31,343,839.67
  5. Step 5: Solve for x
    x = 31,343,839.67/4,961.64
  6. Step 6: Final answer
    x = 6,317.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.