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Finding the Fourth Proportional to 5,701.97, 8,524.84 and 4,834.15

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Solution

The fourth proportional to 5,701.97, 8,524.84 and 4,834.15 is: 7,227.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,701.97 : 8,524.84 = 4,834.15 : x
  2. Step 2: Convert to fraction form
    5,701.97/8,524.84 = 4,834.15/x
  3. Step 3: Cross multiply
    5,701.97x = 8,524.84 × 4,834.15
  4. Step 4: Simplify right side
    5,701.97x = 41,210,355.29
  5. Step 5: Solve for x
    x = 41,210,355.29/5,701.97
  6. Step 6: Final answer
    x = 7,227.39

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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.