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Finding the Fourth Proportional to 10,786, 14,885.04 and 6,593.44

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Solution

The fourth proportional to 10,786, 14,885.04 and 6,593.44 is: 9,099.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,786 : 14,885.04 = 6,593.44 : x
  2. Step 2: Convert to fraction form
    10,786/14,885.04 = 6,593.44/x
  3. Step 3: Cross multiply
    10,786x = 14,885.04 × 6,593.44
  4. Step 4: Simplify right side
    10,786x = 98,143,618.14
  5. Step 5: Solve for x
    x = 98,143,618.14/10,786
  6. Step 6: Final answer
    x = 9,099.17

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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.