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Finding the Fourth Proportional to 7,836.38, 11,754.64 and 1,992.98

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Solution

The fourth proportional to 7,836.38, 11,754.64 and 1,992.98 is: 2,989.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836.38 : 11,754.64 = 1,992.98 : x
  2. Step 2: Convert to fraction form
    7,836.38/11,754.64 = 1,992.98/x
  3. Step 3: Cross multiply
    7,836.38x = 11,754.64 × 1,992.98
  4. Step 4: Simplify right side
    7,836.38x = 23,426,762.43
  5. Step 5: Solve for x
    x = 23,426,762.43/7,836.38
  6. Step 6: Final answer
    x = 2,989.49

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Similar ratio
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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.