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Finding the Fourth Proportional to 8,199, 12,298.50 and 2,727

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Solution

The fourth proportional to 8,199, 12,298.50 and 2,727 is: 4,090.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199 : 12,298.50 = 2,727 : x
  2. Step 2: Convert to fraction form
    8,199/12,298.50 = 2,727/x
  3. Step 3: Cross multiply
    8,199x = 12,298.50 × 2,727
  4. Step 4: Simplify right side
    8,199x = 33,538,009.50
  5. Step 5: Solve for x
    x = 33,538,009.50/8,199
  6. Step 6: Final answer
    x = 4,090.50

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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.