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Finding the Fourth Proportional to 9,822.50, 14,727.86 and 6,663.82

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Solution

The fourth proportional to 9,822.50, 14,727.86 and 6,663.82 is: 9,991.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822.50 : 14,727.86 = 6,663.82 : x
  2. Step 2: Convert to fraction form
    9,822.50/14,727.86 = 6,663.82/x
  3. Step 3: Cross multiply
    9,822.50x = 14,727.86 × 6,663.82
  4. Step 4: Simplify right side
    9,822.50x = 98,143,808.03
  5. Step 5: Solve for x
    x = 98,143,808.03/9,822.50
  6. Step 6: Final answer
    x = 9,991.73

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Why These Related Problems?

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