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Finding the Fourth Proportional to 6,288.68, 8,679.80 and 4,164.29

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Solution

The fourth proportional to 6,288.68, 8,679.80 and 4,164.29 is: 5,747.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,288.68 : 8,679.80 = 4,164.29 : x
  2. Step 2: Convert to fraction form
    6,288.68/8,679.80 = 4,164.29/x
  3. Step 3: Cross multiply
    6,288.68x = 8,679.80 × 4,164.29
  4. Step 4: Simplify right side
    6,288.68x = 36,145,204.34
  5. Step 5: Solve for x
    x = 36,145,204.34/6,288.68
  6. Step 6: Final answer
    x = 5,747.66

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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.