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Finding the Fourth Proportional to 8,300.76, 12,451.16 and 6,834.04

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Solution

The fourth proportional to 8,300.76, 12,451.16 and 6,834.04 is: 10,251.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,300.76 : 12,451.16 = 6,834.04 : x
  2. Step 2: Convert to fraction form
    8,300.76/12,451.16 = 6,834.04/x
  3. Step 3: Cross multiply
    8,300.76x = 12,451.16 × 6,834.04
  4. Step 4: Simplify right side
    8,300.76x = 85,091,725.49
  5. Step 5: Solve for x
    x = 85,091,725.49/8,300.76
  6. Step 6: Final answer
    x = 10,251.08

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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.