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Finding the Fourth Proportional to 6,381.47, 9,548.15 and 5,734.01

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Solution

The fourth proportional to 6,381.47, 9,548.15 and 5,734.01 is: 8,579.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.47 : 9,548.15 = 5,734.01 : x
  2. Step 2: Convert to fraction form
    6,381.47/9,548.15 = 5,734.01/x
  3. Step 3: Cross multiply
    6,381.47x = 9,548.15 × 5,734.01
  4. Step 4: Simplify right side
    6,381.47x = 54,749,187.58
  5. Step 5: Solve for x
    x = 54,749,187.58/6,381.47
  6. Step 6: Final answer
    x = 8,579.40

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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.