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Finding the Fourth Proportional to 6,493.96, 9,740.94 and 1,876.96

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Solution

The fourth proportional to 6,493.96, 9,740.94 and 1,876.96 is: 2,815.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.96 : 9,740.94 = 1,876.96 : x
  2. Step 2: Convert to fraction form
    6,493.96/9,740.94 = 1,876.96/x
  3. Step 3: Cross multiply
    6,493.96x = 9,740.94 × 1,876.96
  4. Step 4: Simplify right side
    6,493.96x = 18,283,354.74
  5. Step 5: Solve for x
    x = 18,283,354.74/6,493.96
  6. Step 6: Final answer
    x = 2,815.44

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1.5x scale

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.