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Finding the Fourth Proportional to 6,819.68, 10,238.16 and 5,800.16

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Solution

The fourth proportional to 6,819.68, 10,238.16 and 5,800.16 is: 8,707.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,819.68 : 10,238.16 = 5,800.16 : x
  2. Step 2: Convert to fraction form
    6,819.68/10,238.16 = 5,800.16/x
  3. Step 3: Cross multiply
    6,819.68x = 10,238.16 × 5,800.16
  4. Step 4: Simplify right side
    6,819.68x = 59,382,966.11
  5. Step 5: Solve for x
    x = 59,382,966.11/6,819.68
  6. Step 6: Final answer
    x = 8,707.59

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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.