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Finding the Fourth Proportional to 12,097.64, 18,107.40 and 6,246.20

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Solution

The fourth proportional to 12,097.64, 18,107.40 and 6,246.20 is: 9,349.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.64 : 18,107.40 = 6,246.20 : x
  2. Step 2: Convert to fraction form
    12,097.64/18,107.40 = 6,246.20/x
  3. Step 3: Cross multiply
    12,097.64x = 18,107.40 × 6,246.20
  4. Step 4: Simplify right side
    12,097.64x = 113,102,441.88
  5. Step 5: Solve for x
    x = 113,102,441.88/12,097.64
  6. Step 6: Final answer
    x = 9,349.13

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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.