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Finding the Fourth Proportional to 12,661.76, 17,472.92 and 6,996.96

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Solution

The fourth proportional to 12,661.76, 17,472.92 and 6,996.96 is: 9,655.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,661.76 : 17,472.92 = 6,996.96 : x
  2. Step 2: Convert to fraction form
    12,661.76/17,472.92 = 6,996.96/x
  3. Step 3: Cross multiply
    12,661.76x = 17,472.92 × 6,996.96
  4. Step 4: Simplify right side
    12,661.76x = 122,257,322.32
  5. Step 5: Solve for x
    x = 122,257,322.32/12,661.76
  6. Step 6: Final answer
    x = 9,655.63

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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.