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Finding the Fourth Proportional to 10,410.74, 14,369.06 and 6,633

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Solution

The fourth proportional to 10,410.74, 14,369.06 and 6,633 is: 9,154.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,410.74 : 14,369.06 = 6,633 : x
  2. Step 2: Convert to fraction form
    10,410.74/14,369.06 = 6,633/x
  3. Step 3: Cross multiply
    10,410.74x = 14,369.06 × 6,633
  4. Step 4: Simplify right side
    10,410.74x = 95,309,974.98
  5. Step 5: Solve for x
    x = 95,309,974.98/10,410.74
  6. Step 6: Final answer
    x = 9,154.97

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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.