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Finding the Fourth Proportional to 6,599.46, 9,900.42 and 2,097.66

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Solution

The fourth proportional to 6,599.46, 9,900.42 and 2,097.66 is: 3,146.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,599.46 : 9,900.42 = 2,097.66 : x
  2. Step 2: Convert to fraction form
    6,599.46/9,900.42 = 2,097.66/x
  3. Step 3: Cross multiply
    6,599.46x = 9,900.42 × 2,097.66
  4. Step 4: Simplify right side
    6,599.46x = 20,767,715.02
  5. Step 5: Solve for x
    x = 20,767,715.02/6,599.46
  6. Step 6: Final answer
    x = 3,146.88

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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.