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Finding the Fourth Proportional to 6,098.07, 9,147.60 and 1,715.57

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Solution

The fourth proportional to 6,098.07, 9,147.60 and 1,715.57 is: 2,573.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.07 : 9,147.60 = 1,715.57 : x
  2. Step 2: Convert to fraction form
    6,098.07/9,147.60 = 1,715.57/x
  3. Step 3: Cross multiply
    6,098.07x = 9,147.60 × 1,715.57
  4. Step 4: Simplify right side
    6,098.07x = 15,693,302.39
  5. Step 5: Solve for x
    x = 15,693,302.39/6,098.07
  6. Step 6: Final answer
    x = 2,573.49

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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.