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Finding the Fourth Proportional to 4,965.28, 7,452.78 and 4,942.18

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Solution

The fourth proportional to 4,965.28, 7,452.78 and 4,942.18 is: 7,418.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.28 : 7,452.78 = 4,942.18 : x
  2. Step 2: Convert to fraction form
    4,965.28/7,452.78 = 4,942.18/x
  3. Step 3: Cross multiply
    4,965.28x = 7,452.78 × 4,942.18
  4. Step 4: Simplify right side
    4,965.28x = 36,832,980.26
  5. Step 5: Solve for x
    x = 36,832,980.26/4,965.28
  6. Step 6: Final answer
    x = 7,418.11

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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.