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Finding the Fourth Proportional to 12,003.62, 16,562.34 and 6,964.92

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Solution

The fourth proportional to 12,003.62, 16,562.34 and 6,964.92 is: 9,610.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,003.62 : 16,562.34 = 6,964.92 : x
  2. Step 2: Convert to fraction form
    12,003.62/16,562.34 = 6,964.92/x
  3. Step 3: Cross multiply
    12,003.62x = 16,562.34 × 6,964.92
  4. Step 4: Simplify right side
    12,003.62x = 115,355,373.11
  5. Step 5: Solve for x
    x = 115,355,373.11/12,003.62
  6. Step 6: Final answer
    x = 9,610.05

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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.