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Finding the Fourth Proportional to 10,173.81, 14,033.64 and 6,724.38

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Solution

The fourth proportional to 10,173.81, 14,033.64 and 6,724.38 is: 9,275.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,173.81 : 14,033.64 = 6,724.38 : x
  2. Step 2: Convert to fraction form
    10,173.81/14,033.64 = 6,724.38/x
  3. Step 3: Cross multiply
    10,173.81x = 14,033.64 × 6,724.38
  4. Step 4: Simplify right side
    10,173.81x = 94,367,580.77
  5. Step 5: Solve for x
    x = 94,367,580.77/10,173.81
  6. Step 6: Final answer
    x = 9,275.54

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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.