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Finding the Fourth Proportional to 6,998.82, 9,658.06 and 4,012.58

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Solution

The fourth proportional to 6,998.82, 9,658.06 and 4,012.58 is: 5,537.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.82 : 9,658.06 = 4,012.58 : x
  2. Step 2: Convert to fraction form
    6,998.82/9,658.06 = 4,012.58/x
  3. Step 3: Cross multiply
    6,998.82x = 9,658.06 × 4,012.58
  4. Step 4: Simplify right side
    6,998.82x = 38,753,738.39
  5. Step 5: Solve for x
    x = 38,753,738.39/6,998.82
  6. Step 6: Final answer
    x = 5,537.18

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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.