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Finding the Fourth Proportional to 6,493.77, 9,740.25 and 1,876.77

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Solution

The fourth proportional to 6,493.77, 9,740.25 and 1,876.77 is: 2,815.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.77 : 9,740.25 = 1,876.77 : x
  2. Step 2: Convert to fraction form
    6,493.77/9,740.25 = 1,876.77/x
  3. Step 3: Cross multiply
    6,493.77x = 9,740.25 × 1,876.77
  4. Step 4: Simplify right side
    6,493.77x = 18,280,208.99
  5. Step 5: Solve for x
    x = 18,280,208.99/6,493.77
  6. Step 6: Final answer
    x = 2,815.04

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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.