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Finding the Fourth Proportional to 37,686, 56,530.08 and 9,984

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Solution

The fourth proportional to 37,686, 56,530.08 and 9,984 is: 14,976.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,686 : 56,530.08 = 9,984 : x
  2. Step 2: Convert to fraction form
    37,686/56,530.08 = 9,984/x
  3. Step 3: Cross multiply
    37,686x = 56,530.08 × 9,984
  4. Step 4: Simplify right side
    37,686x = 564,396,318.72
  5. Step 5: Solve for x
    x = 564,396,318.72/37,686
  6. Step 6: Final answer
    x = 14,976.29

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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.