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Finding the Fourth Proportional to 8,827.72, 13,243.18 and 7,198.68

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Solution

The fourth proportional to 8,827.72, 13,243.18 and 7,198.68 is: 10,799.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,827.72 : 13,243.18 = 7,198.68 : x
  2. Step 2: Convert to fraction form
    8,827.72/13,243.18 = 7,198.68/x
  3. Step 3: Cross multiply
    8,827.72x = 13,243.18 × 7,198.68
  4. Step 4: Simplify right side
    8,827.72x = 95,333,415.00
  5. Step 5: Solve for x
    x = 95,333,415.00/8,827.72
  6. Step 6: Final answer
    x = 10,799.32

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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.