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Finding the Fourth Proportional to 6,083.69, 9,124.49 and 1,700.11

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Solution

The fourth proportional to 6,083.69, 9,124.49 and 1,700.11 is: 2,549.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,083.69 : 9,124.49 = 1,700.11 : x
  2. Step 2: Convert to fraction form
    6,083.69/9,124.49 = 1,700.11/x
  3. Step 3: Cross multiply
    6,083.69x = 9,124.49 × 1,700.11
  4. Step 4: Simplify right side
    6,083.69x = 15,512,618.13
  5. Step 5: Solve for x
    x = 15,512,618.13/6,083.69
  6. Step 6: Final answer
    x = 2,549.87

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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.