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Finding the Fourth Proportional to 12,153.76, 16,770.99 and 6,849.52

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Solution

The fourth proportional to 12,153.76, 16,770.99 and 6,849.52 is: 9,451.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,153.76 : 16,770.99 = 6,849.52 : x
  2. Step 2: Convert to fraction form
    12,153.76/16,770.99 = 6,849.52/x
  3. Step 3: Cross multiply
    12,153.76x = 16,770.99 × 6,849.52
  4. Step 4: Simplify right side
    12,153.76x = 114,873,231.42
  5. Step 5: Solve for x
    x = 114,873,231.42/12,153.76
  6. Step 6: Final answer
    x = 9,451.66

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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.