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Finding the Fourth Proportional to 6,164.78, 8,508.46 and 5,959.75

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Solution

The fourth proportional to 6,164.78, 8,508.46 and 5,959.75 is: 8,225.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.78 : 8,508.46 = 5,959.75 : x
  2. Step 2: Convert to fraction form
    6,164.78/8,508.46 = 5,959.75/x
  3. Step 3: Cross multiply
    6,164.78x = 8,508.46 × 5,959.75
  4. Step 4: Simplify right side
    6,164.78x = 50,708,294.49
  5. Step 5: Solve for x
    x = 50,708,294.49/6,164.78
  6. Step 6: Final answer
    x = 8,225.48

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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.