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Finding the Fourth Proportional to 12,153.97, 16,773.47 and 6,849.15

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Solution

The fourth proportional to 12,153.97, 16,773.47 and 6,849.15 is: 9,452.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,153.97 : 16,773.47 = 6,849.15 : x
  2. Step 2: Convert to fraction form
    12,153.97/16,773.47 = 6,849.15/x
  3. Step 3: Cross multiply
    12,153.97x = 16,773.47 × 6,849.15
  4. Step 4: Simplify right side
    12,153.97x = 114,884,012.05
  5. Step 5: Solve for x
    x = 114,884,012.05/12,153.97
  6. Step 6: Final answer
    x = 9,452.39

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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.