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Finding the Fourth Proportional to 6,999, 10,499.94 and 2,895

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Solution

The fourth proportional to 6,999, 10,499.94 and 2,895 is: 4,343.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,999 : 10,499.94 = 2,895 : x
  2. Step 2: Convert to fraction form
    6,999/10,499.94 = 2,895/x
  3. Step 3: Cross multiply
    6,999x = 10,499.94 × 2,895
  4. Step 4: Simplify right side
    6,999x = 30,397,326.30
  5. Step 5: Solve for x
    x = 30,397,326.30/6,999
  6. Step 6: Final answer
    x = 4,343.10

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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.