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Finding the Fourth Proportional to 11,882.85, 16,402.43 and 6,849.08

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Solution

The fourth proportional to 11,882.85, 16,402.43 and 6,849.08 is: 9,454.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,882.85 : 16,402.43 = 6,849.08 : x
  2. Step 2: Convert to fraction form
    11,882.85/16,402.43 = 6,849.08/x
  3. Step 3: Cross multiply
    11,882.85x = 16,402.43 × 6,849.08
  4. Step 4: Simplify right side
    11,882.85x = 112,341,490.37
  5. Step 5: Solve for x
    x = 112,341,490.37/11,882.85
  6. Step 6: Final answer
    x = 9,454.09

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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.