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Finding the Fourth Proportional to 9,107, 13,647.80 and 6,884

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Solution

The fourth proportional to 9,107, 13,647.80 and 6,884 is: 10,316.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107 : 13,647.80 = 6,884 : x
  2. Step 2: Convert to fraction form
    9,107/13,647.80 = 6,884/x
  3. Step 3: Cross multiply
    9,107x = 13,647.80 × 6,884
  4. Step 4: Simplify right side
    9,107x = 93,951,455.20
  5. Step 5: Solve for x
    x = 93,951,455.20/9,107
  6. Step 6: Final answer
    x = 10,316.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.