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Finding the Fourth Proportional to 6,514.40, 9,770.58 and 1,834.76

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Solution

The fourth proportional to 6,514.40, 9,770.58 and 1,834.76 is: 2,751.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.40 : 9,770.58 = 1,834.76 : x
  2. Step 2: Convert to fraction form
    6,514.40/9,770.58 = 1,834.76/x
  3. Step 3: Cross multiply
    6,514.40x = 9,770.58 × 1,834.76
  4. Step 4: Simplify right side
    6,514.40x = 17,926,669.36
  5. Step 5: Solve for x
    x = 17,926,669.36/6,514.40
  6. Step 6: Final answer
    x = 2,751.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.