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Finding the Fourth Proportional to 10,201.48, 14,078 and 5,955.46

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Solution

The fourth proportional to 10,201.48, 14,078 and 5,955.46 is: 8,218.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,201.48 : 14,078 = 5,955.46 : x
  2. Step 2: Convert to fraction form
    10,201.48/14,078 = 5,955.46/x
  3. Step 3: Cross multiply
    10,201.48x = 14,078 × 5,955.46
  4. Step 4: Simplify right side
    10,201.48x = 83,840,965.88
  5. Step 5: Solve for x
    x = 83,840,965.88/10,201.48
  6. Step 6: Final answer
    x = 8,218.51

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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.