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Finding the Fourth Proportional to 3,306.25, 4,959.51 and 997.75

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Solution

The fourth proportional to 3,306.25, 4,959.51 and 997.75 is: 1,496.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,306.25 : 4,959.51 = 997.75 : x
  2. Step 2: Convert to fraction form
    3,306.25/4,959.51 = 997.75/x
  3. Step 3: Cross multiply
    3,306.25x = 4,959.51 × 997.75
  4. Step 4: Simplify right side
    3,306.25x = 4,948,351.10
  5. Step 5: Solve for x
    x = 4,948,351.10/3,306.25
  6. Step 6: Final answer
    x = 1,496.67

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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.