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Finding the Fourth Proportional to 6,806.46, 10,163.10 and 6,099.12

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Solution

The fourth proportional to 6,806.46, 10,163.10 and 6,099.12 is: 9,106.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.46 : 10,163.10 = 6,099.12 : x
  2. Step 2: Convert to fraction form
    6,806.46/10,163.10 = 6,099.12/x
  3. Step 3: Cross multiply
    6,806.46x = 10,163.10 × 6,099.12
  4. Step 4: Simplify right side
    6,806.46x = 61,985,966.47
  5. Step 5: Solve for x
    x = 61,985,966.47/6,806.46
  6. Step 6: Final answer
    x = 9,106.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.