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Finding the Fourth Proportional to 6,506.73, 9,763.34 and 4,789.53

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Solution

The fourth proportional to 6,506.73, 9,763.34 and 4,789.53 is: 7,186.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.73 : 9,763.34 = 4,789.53 : x
  2. Step 2: Convert to fraction form
    6,506.73/9,763.34 = 4,789.53/x
  3. Step 3: Cross multiply
    6,506.73x = 9,763.34 × 4,789.53
  4. Step 4: Simplify right side
    6,506.73x = 46,761,785.88
  5. Step 5: Solve for x
    x = 46,761,785.88/6,506.73
  6. Step 6: Final answer
    x = 7,186.68

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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.