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Finding the Fourth Proportional to 6,981.68, 9,635.22 and 3,956.78

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Solution

The fourth proportional to 6,981.68, 9,635.22 and 3,956.78 is: 5,460.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,981.68 : 9,635.22 = 3,956.78 : x
  2. Step 2: Convert to fraction form
    6,981.68/9,635.22 = 3,956.78/x
  3. Step 3: Cross multiply
    6,981.68x = 9,635.22 × 3,956.78
  4. Step 4: Simplify right side
    6,981.68x = 38,124,445.79
  5. Step 5: Solve for x
    x = 38,124,445.79/6,981.68
  6. Step 6: Final answer
    x = 5,460.64

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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.