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Finding the Fourth Proportional to 6,956.76, 9,600.34 and 3,812.96

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Solution

The fourth proportional to 6,956.76, 9,600.34 and 3,812.96 is: 5,261.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,956.76 : 9,600.34 = 3,812.96 : x
  2. Step 2: Convert to fraction form
    6,956.76/9,600.34 = 3,812.96/x
  3. Step 3: Cross multiply
    6,956.76x = 9,600.34 × 3,812.96
  4. Step 4: Simplify right side
    6,956.76x = 36,605,712.41
  5. Step 5: Solve for x
    x = 36,605,712.41/6,956.76
  6. Step 6: Final answer
    x = 5,261.89

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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.