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Finding the Fourth Proportional to 12,761.73, 19,154.79 and 7,840.98

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Solution

The fourth proportional to 12,761.73, 19,154.79 and 7,840.98 is: 11,768.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,761.73 : 19,154.79 = 7,840.98 : x
  2. Step 2: Convert to fraction form
    12,761.73/19,154.79 = 7,840.98/x
  3. Step 3: Cross multiply
    12,761.73x = 19,154.79 × 7,840.98
  4. Step 4: Simplify right side
    12,761.73x = 150,192,325.29
  5. Step 5: Solve for x
    x = 150,192,325.29/12,761.73
  6. Step 6: Final answer
    x = 11,768.96

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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.