Home / 10,214.91-14,099.49-5,967

Finding the Fourth Proportional to 10,214.91, 14,099.49 and 5,967

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Solution

The fourth proportional to 10,214.91, 14,099.49 and 5,967 is: 8,236.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,214.91 : 14,099.49 = 5,967 : x
  2. Step 2: Convert to fraction form
    10,214.91/14,099.49 = 5,967/x
  3. Step 3: Cross multiply
    10,214.91x = 14,099.49 × 5,967
  4. Step 4: Simplify right side
    10,214.91x = 84,131,656.83
  5. Step 5: Solve for x
    x = 84,131,656.83/10,214.91
  6. Step 6: Final answer
    x = 8,236.16

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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.