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Finding the Fourth Proportional to 6,998.65, 10,497.98 and 6,570.97

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Solution

The fourth proportional to 6,998.65, 10,497.98 and 6,570.97 is: 9,856.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.65 : 10,497.98 = 6,570.97 : x
  2. Step 2: Convert to fraction form
    6,998.65/10,497.98 = 6,570.97/x
  3. Step 3: Cross multiply
    6,998.65x = 10,497.98 × 6,570.97
  4. Step 4: Simplify right side
    6,998.65x = 68,981,901.82
  5. Step 5: Solve for x
    x = 68,981,901.82/6,998.65
  6. Step 6: Final answer
    x = 9,856.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.