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Finding the Fourth Proportional to 12,661.16, 17,472.24 and 6,995.90

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Solution

The fourth proportional to 12,661.16, 17,472.24 and 6,995.90 is: 9,654.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,661.16 : 17,472.24 = 6,995.90 : x
  2. Step 2: Convert to fraction form
    12,661.16/17,472.24 = 6,995.90/x
  3. Step 3: Cross multiply
    12,661.16x = 17,472.24 × 6,995.90
  4. Step 4: Simplify right side
    12,661.16x = 122,234,043.82
  5. Step 5: Solve for x
    x = 122,234,043.82/12,661.16
  6. Step 6: Final answer
    x = 9,654.25

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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.