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Finding the Fourth Proportional to 4,954.71, 7,380.43 and 4,691.75

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Solution

The fourth proportional to 4,954.71, 7,380.43 and 4,691.75 is: 6,988.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,954.71 : 7,380.43 = 4,691.75 : x
  2. Step 2: Convert to fraction form
    4,954.71/7,380.43 = 4,691.75/x
  3. Step 3: Cross multiply
    4,954.71x = 7,380.43 × 4,691.75
  4. Step 4: Simplify right side
    4,954.71x = 34,627,132.45
  5. Step 5: Solve for x
    x = 34,627,132.45/4,954.71
  6. Step 6: Final answer
    x = 6,988.73

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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.