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Finding the Fourth Proportional to 10,196.38, 14,075.01 and 6,837.97

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Solution

The fourth proportional to 10,196.38, 14,075.01 and 6,837.97 is: 9,439.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,196.38 : 14,075.01 = 6,837.97 : x
  2. Step 2: Convert to fraction form
    10,196.38/14,075.01 = 6,837.97/x
  3. Step 3: Cross multiply
    10,196.38x = 14,075.01 × 6,837.97
  4. Step 4: Simplify right side
    10,196.38x = 96,244,496.13
  5. Step 5: Solve for x
    x = 96,244,496.13/10,196.38
  6. Step 6: Final answer
    x = 9,439.08

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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.