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Finding the Fourth Proportional to 6,838.68, 10,266.66 and 5,819.16

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Solution

The fourth proportional to 6,838.68, 10,266.66 and 5,819.16 is: 8,736.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.68 : 10,266.66 = 5,819.16 : x
  2. Step 2: Convert to fraction form
    6,838.68/10,266.66 = 5,819.16/x
  3. Step 3: Cross multiply
    6,838.68x = 10,266.66 × 5,819.16
  4. Step 4: Simplify right side
    6,838.68x = 59,743,337.21
  5. Step 5: Solve for x
    x = 59,743,337.21/6,838.68
  6. Step 6: Final answer
    x = 8,736.09

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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.