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Finding the Fourth Proportional to 12,154.44, 16,773.68 and 6,849.48

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Solution

The fourth proportional to 12,154.44, 16,773.68 and 6,849.48 is: 9,452.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,154.44 : 16,773.68 = 6,849.48 : x
  2. Step 2: Convert to fraction form
    12,154.44/16,773.68 = 6,849.48/x
  3. Step 3: Cross multiply
    12,154.44x = 16,773.68 × 6,849.48
  4. Step 4: Simplify right side
    12,154.44x = 114,890,985.69
  5. Step 5: Solve for x
    x = 114,890,985.69/12,154.44
  6. Step 6: Final answer
    x = 9,452.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.