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Finding the Fourth Proportional to 11,885.76, 16,404.08 and 6,849.02

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Solution

The fourth proportional to 11,885.76, 16,404.08 and 6,849.02 is: 9,452.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,885.76 : 16,404.08 = 6,849.02 : x
  2. Step 2: Convert to fraction form
    11,885.76/16,404.08 = 6,849.02/x
  3. Step 3: Cross multiply
    11,885.76x = 16,404.08 × 6,849.02
  4. Step 4: Simplify right side
    11,885.76x = 112,351,872.00
  5. Step 5: Solve for x
    x = 112,351,872.00/11,885.76
  6. Step 6: Final answer
    x = 9,452.65

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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.