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Finding the Fourth Proportional to 10,193.86, 14,054.38 and 6,602.46

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Solution

The fourth proportional to 10,193.86, 14,054.38 and 6,602.46 is: 9,102.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,193.86 : 14,054.38 = 6,602.46 : x
  2. Step 2: Convert to fraction form
    10,193.86/14,054.38 = 6,602.46/x
  3. Step 3: Cross multiply
    10,193.86x = 14,054.38 × 6,602.46
  4. Step 4: Simplify right side
    10,193.86x = 92,793,481.77
  5. Step 5: Solve for x
    x = 92,793,481.77/10,193.86
  6. Step 6: Final answer
    x = 9,102.88

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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.