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Finding the Fourth Proportional to 10,273.97, 14,178.06 and 5,558.25

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Solution

The fourth proportional to 10,273.97, 14,178.06 and 5,558.25 is: 7,670.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,273.97 : 14,178.06 = 5,558.25 : x
  2. Step 2: Convert to fraction form
    10,273.97/14,178.06 = 5,558.25/x
  3. Step 3: Cross multiply
    10,273.97x = 14,178.06 × 5,558.25
  4. Step 4: Simplify right side
    10,273.97x = 78,805,202.00
  5. Step 5: Solve for x
    x = 78,805,202.00/10,273.97
  6. Step 6: Final answer
    x = 7,670.38

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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.