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Finding the Fourth Proportional to 6,956.16, 9,600.42 and 3,971.32

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Solution

The fourth proportional to 6,956.16, 9,600.42 and 3,971.32 is: 5,480.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,956.16 : 9,600.42 = 3,971.32 : x
  2. Step 2: Convert to fraction form
    6,956.16/9,600.42 = 3,971.32/x
  3. Step 3: Cross multiply
    6,956.16x = 9,600.42 × 3,971.32
  4. Step 4: Simplify right side
    6,956.16x = 38,126,339.95
  5. Step 5: Solve for x
    x = 38,126,339.95/6,956.16
  6. Step 6: Final answer
    x = 5,480.95

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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.