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Finding the Fourth Proportional to 9,773.82, 14,660.75 and 6,865.11

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Solution

The fourth proportional to 9,773.82, 14,660.75 and 6,865.11 is: 10,297.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.82 : 14,660.75 = 6,865.11 : x
  2. Step 2: Convert to fraction form
    9,773.82/14,660.75 = 6,865.11/x
  3. Step 3: Cross multiply
    9,773.82x = 14,660.75 × 6,865.11
  4. Step 4: Simplify right side
    9,773.82x = 100,647,678.60
  5. Step 5: Solve for x
    x = 100,647,678.60/9,773.82
  6. Step 6: Final answer
    x = 10,297.68

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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.