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Finding the Fourth Proportional to 6,099.50, 9,148.17 and 1,715.91

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Solution

The fourth proportional to 6,099.50, 9,148.17 and 1,715.91 is: 2,573.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,099.50 : 9,148.17 = 1,715.91 : x
  2. Step 2: Convert to fraction form
    6,099.50/9,148.17 = 1,715.91/x
  3. Step 3: Cross multiply
    6,099.50x = 9,148.17 × 1,715.91
  4. Step 4: Simplify right side
    6,099.50x = 15,697,436.38
  5. Step 5: Solve for x
    x = 15,697,436.38/6,099.50
  6. Step 6: Final answer
    x = 2,573.56

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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.