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Finding the Fourth Proportional to 9,186.30, 13,752.09 and 8,351.10

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Solution

The fourth proportional to 9,186.30, 13,752.09 and 8,351.10 is: 12,501.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,186.30 : 13,752.09 = 8,351.10 : x
  2. Step 2: Convert to fraction form
    9,186.30/13,752.09 = 8,351.10/x
  3. Step 3: Cross multiply
    9,186.30x = 13,752.09 × 8,351.10
  4. Step 4: Simplify right side
    9,186.30x = 114,845,078.80
  5. Step 5: Solve for x
    x = 114,845,078.80/9,186.30
  6. Step 6: Final answer
    x = 12,501.78

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1.5x scale

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.