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Finding the Fourth Proportional to 12,201.03, 16,838.08 and 7,723.15

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Solution

The fourth proportional to 12,201.03, 16,838.08 and 7,723.15 is: 10,658.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,201.03 : 16,838.08 = 7,723.15 : x
  2. Step 2: Convert to fraction form
    12,201.03/16,838.08 = 7,723.15/x
  3. Step 3: Cross multiply
    12,201.03x = 16,838.08 × 7,723.15
  4. Step 4: Simplify right side
    12,201.03x = 130,042,956.15
  5. Step 5: Solve for x
    x = 130,042,956.15/12,201.03
  6. Step 6: Final answer
    x = 10,658.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.