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Finding the Fourth Proportional to 6,299.70, 9,452.55 and 4,220.70

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Solution

The fourth proportional to 6,299.70, 9,452.55 and 4,220.70 is: 6,333.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.70 : 9,452.55 = 4,220.70 : x
  2. Step 2: Convert to fraction form
    6,299.70/9,452.55 = 4,220.70/x
  3. Step 3: Cross multiply
    6,299.70x = 9,452.55 × 4,220.70
  4. Step 4: Simplify right side
    6,299.70x = 39,896,377.79
  5. Step 5: Solve for x
    x = 39,896,377.79/6,299.70
  6. Step 6: Final answer
    x = 6,333.06

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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.