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Finding the Fourth Proportional to 10,186.70, 15,297.66 and 6,052.68

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Solution

The fourth proportional to 10,186.70, 15,297.66 and 6,052.68 is: 9,089.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,186.70 : 15,297.66 = 6,052.68 : x
  2. Step 2: Convert to fraction form
    10,186.70/15,297.66 = 6,052.68/x
  3. Step 3: Cross multiply
    10,186.70x = 15,297.66 × 6,052.68
  4. Step 4: Simplify right side
    10,186.70x = 92,591,840.73
  5. Step 5: Solve for x
    x = 92,591,840.73/10,186.70
  6. Step 6: Final answer
    x = 9,089.49

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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.