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Finding the Fourth Proportional to 6,381.59, 9,548.34 and 5,734.13

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Solution

The fourth proportional to 6,381.59, 9,548.34 and 5,734.13 is: 8,579.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.59 : 9,548.34 = 5,734.13 : x
  2. Step 2: Convert to fraction form
    6,381.59/9,548.34 = 5,734.13/x
  3. Step 3: Cross multiply
    6,381.59x = 9,548.34 × 5,734.13
  4. Step 4: Simplify right side
    6,381.59x = 54,751,422.84
  5. Step 5: Solve for x
    x = 54,751,422.84/6,381.59
  6. Step 6: Final answer
    x = 8,579.59

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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.