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Finding the Fourth Proportional to 6,381.76, 9,557.52 and 4,066.24

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Solution

The fourth proportional to 6,381.76, 9,557.52 and 4,066.24 is: 6,089.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.76 : 9,557.52 = 4,066.24 : x
  2. Step 2: Convert to fraction form
    6,381.76/9,557.52 = 4,066.24/x
  3. Step 3: Cross multiply
    6,381.76x = 9,557.52 × 4,066.24
  4. Step 4: Simplify right side
    6,381.76x = 38,863,170.12
  5. Step 5: Solve for x
    x = 38,863,170.12/6,381.76
  6. Step 6: Final answer
    x = 6,089.73

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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.