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Finding the Fourth Proportional to 37,685, 56,528.58 and 9,983

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Solution

The fourth proportional to 37,685, 56,528.58 and 9,983 is: 14,974.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,685 : 56,528.58 = 9,983 : x
  2. Step 2: Convert to fraction form
    37,685/56,528.58 = 9,983/x
  3. Step 3: Cross multiply
    37,685x = 56,528.58 × 9,983
  4. Step 4: Simplify right side
    37,685x = 564,324,814.14
  5. Step 5: Solve for x
    x = 564,324,814.14/37,685
  6. Step 6: Final answer
    x = 14,974.79

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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.