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Finding the Fourth Proportional to 12,996.65, 17,935.29 and 7,028.24

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Solution

The fourth proportional to 12,996.65, 17,935.29 and 7,028.24 is: 9,698.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,996.65 : 17,935.29 = 7,028.24 : x
  2. Step 2: Convert to fraction form
    12,996.65/17,935.29 = 7,028.24/x
  3. Step 3: Cross multiply
    12,996.65x = 17,935.29 × 7,028.24
  4. Step 4: Simplify right side
    12,996.65x = 126,053,432.91
  5. Step 5: Solve for x
    x = 126,053,432.91/12,996.65
  6. Step 6: Final answer
    x = 9,698.92

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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.