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Finding the Fourth Proportional to 6,480.80, 9,734.56 and 4,266.53

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Solution

The fourth proportional to 6,480.80, 9,734.56 and 4,266.53 is: 6,408.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,480.80 : 9,734.56 = 4,266.53 : x
  2. Step 2: Convert to fraction form
    6,480.80/9,734.56 = 4,266.53/x
  3. Step 3: Cross multiply
    6,480.80x = 9,734.56 × 4,266.53
  4. Step 4: Simplify right side
    6,480.80x = 41,532,792.28
  5. Step 5: Solve for x
    x = 41,532,792.28/6,480.80
  6. Step 6: Final answer
    x = 6,408.59

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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.