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Finding the Fourth Proportional to 7,876.73, 10,869.76 and 4,340.27

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Solution

The fourth proportional to 7,876.73, 10,869.76 and 4,340.27 is: 5,989.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.73 : 10,869.76 = 4,340.27 : x
  2. Step 2: Convert to fraction form
    7,876.73/10,869.76 = 4,340.27/x
  3. Step 3: Cross multiply
    7,876.73x = 10,869.76 × 4,340.27
  4. Step 4: Simplify right side
    7,876.73x = 47,177,725.83
  5. Step 5: Solve for x
    x = 47,177,725.83/7,876.73
  6. Step 6: Final answer
    x = 5,989.50

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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.