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Finding the Fourth Proportional to 7,843.76, 10,834.04 and 5,863.16

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Solution

The fourth proportional to 7,843.76, 10,834.04 and 5,863.16 is: 8,098.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.76 : 10,834.04 = 5,863.16 : x
  2. Step 2: Convert to fraction form
    7,843.76/10,834.04 = 5,863.16/x
  3. Step 3: Cross multiply
    7,843.76x = 10,834.04 × 5,863.16
  4. Step 4: Simplify right side
    7,843.76x = 63,521,712.99
  5. Step 5: Solve for x
    x = 63,521,712.99/7,843.76
  6. Step 6: Final answer
    x = 8,098.37

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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.