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Finding the Fourth Proportional to 10,637, 15,958.06 and 4,793.61

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Solution

The fourth proportional to 10,637, 15,958.06 and 4,793.61 is: 7,191.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,637 : 15,958.06 = 4,793.61 : x
  2. Step 2: Convert to fraction form
    10,637/15,958.06 = 4,793.61/x
  3. Step 3: Cross multiply
    10,637x = 15,958.06 × 4,793.61
  4. Step 4: Simplify right side
    10,637x = 76,496,716.00
  5. Step 5: Solve for x
    x = 76,496,716.00/10,637
  6. Step 6: Final answer
    x = 7,191.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.