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Finding the Fourth Proportional to 11,884.89, 16,402.87 and 6,848.14

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Solution

The fourth proportional to 11,884.89, 16,402.87 and 6,848.14 is: 9,451.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,884.89 : 16,402.87 = 6,848.14 : x
  2. Step 2: Convert to fraction form
    11,884.89/16,402.87 = 6,848.14/x
  3. Step 3: Cross multiply
    11,884.89x = 16,402.87 × 6,848.14
  4. Step 4: Simplify right side
    11,884.89x = 112,329,150.16
  5. Step 5: Solve for x
    x = 112,329,150.16/11,884.89
  6. Step 6: Final answer
    x = 9,451.43

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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.