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Finding the Fourth Proportional to 8,114.80, 11,198.06 and 4,578.34

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Solution

The fourth proportional to 8,114.80, 11,198.06 and 4,578.34 is: 6,317.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.80 : 11,198.06 = 4,578.34 : x
  2. Step 2: Convert to fraction form
    8,114.80/11,198.06 = 4,578.34/x
  3. Step 3: Cross multiply
    8,114.80x = 11,198.06 × 4,578.34
  4. Step 4: Simplify right side
    8,114.80x = 51,268,526.02
  5. Step 5: Solve for x
    x = 51,268,526.02/8,114.80
  6. Step 6: Final answer
    x = 6,317.90

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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.