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Finding the Fourth Proportional to 3,141.06, 4,711.62 and 832.56

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Solution

The fourth proportional to 3,141.06, 4,711.62 and 832.56 is: 1,248.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.06 : 4,711.62 = 832.56 : x
  2. Step 2: Convert to fraction form
    3,141.06/4,711.62 = 832.56/x
  3. Step 3: Cross multiply
    3,141.06x = 4,711.62 × 832.56
  4. Step 4: Simplify right side
    3,141.06x = 3,922,706.35
  5. Step 5: Solve for x
    x = 3,922,706.35/3,141.06
  6. Step 6: Final answer
    x = 1,248.85

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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.