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Finding the Fourth Proportional to 6,086.22, 8,394.66 and 5,883

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Solution

The fourth proportional to 6,086.22, 8,394.66 and 5,883 is: 8,114.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,086.22 : 8,394.66 = 5,883 : x
  2. Step 2: Convert to fraction form
    6,086.22/8,394.66 = 5,883/x
  3. Step 3: Cross multiply
    6,086.22x = 8,394.66 × 5,883
  4. Step 4: Simplify right side
    6,086.22x = 49,385,784.78
  5. Step 5: Solve for x
    x = 49,385,784.78/6,086.22
  6. Step 6: Final answer
    x = 8,114.36

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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.