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Finding the Fourth Proportional to 5,877.14, 8,813.08 and 4,226.78

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Solution

The fourth proportional to 5,877.14, 8,813.08 and 4,226.78 is: 6,338.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877.14 : 8,813.08 = 4,226.78 : x
  2. Step 2: Convert to fraction form
    5,877.14/8,813.08 = 4,226.78/x
  3. Step 3: Cross multiply
    5,877.14x = 8,813.08 × 4,226.78
  4. Step 4: Simplify right side
    5,877.14x = 37,250,950.28
  5. Step 5: Solve for x
    x = 37,250,950.28/5,877.14
  6. Step 6: Final answer
    x = 6,338.28

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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.