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Finding the Fourth Proportional to 36,284.46, 54,420.42 and 9,982.98

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Solution

The fourth proportional to 36,284.46, 54,420.42 and 9,982.98 is: 14,972.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,284.46 : 54,420.42 = 9,982.98 : x
  2. Step 2: Convert to fraction form
    36,284.46/54,420.42 = 9,982.98/x
  3. Step 3: Cross multiply
    36,284.46x = 54,420.42 × 9,982.98
  4. Step 4: Simplify right side
    36,284.46x = 543,277,964.45
  5. Step 5: Solve for x
    x = 543,277,964.45/36,284.46
  6. Step 6: Final answer
    x = 14,972.74

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1.5x scale

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.