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Finding the Fourth Proportional to 6,956.48, 10,434.22 and 4,506.74

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Solution

The fourth proportional to 6,956.48, 10,434.22 and 4,506.74 is: 6,759.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,956.48 : 10,434.22 = 4,506.74 : x
  2. Step 2: Convert to fraction form
    6,956.48/10,434.22 = 4,506.74/x
  3. Step 3: Cross multiply
    6,956.48x = 10,434.22 × 4,506.74
  4. Step 4: Simplify right side
    6,956.48x = 47,024,292.33
  5. Step 5: Solve for x
    x = 47,024,292.33/6,956.48
  6. Step 6: Final answer
    x = 6,759.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.