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Finding the Fourth Proportional to 6,377.50, 8,801.22 and 3,583

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Solution

The fourth proportional to 6,377.50, 8,801.22 and 3,583 is: 4,944.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,377.50 : 8,801.22 = 3,583 : x
  2. Step 2: Convert to fraction form
    6,377.50/8,801.22 = 3,583/x
  3. Step 3: Cross multiply
    6,377.50x = 8,801.22 × 3,583
  4. Step 4: Simplify right side
    6,377.50x = 31,534,771.26
  5. Step 5: Solve for x
    x = 31,534,771.26/6,377.50
  6. Step 6: Final answer
    x = 4,944.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.