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Finding the Fourth Proportional to 12,677.76, 19,016.70 and 3,443.76

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Solution

The fourth proportional to 12,677.76, 19,016.70 and 3,443.76 is: 5,165.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,677.76 : 19,016.70 = 3,443.76 : x
  2. Step 2: Convert to fraction form
    12,677.76/19,016.70 = 3,443.76/x
  3. Step 3: Cross multiply
    12,677.76x = 19,016.70 × 3,443.76
  4. Step 4: Simplify right side
    12,677.76x = 65,488,950.79
  5. Step 5: Solve for x
    x = 65,488,950.79/12,677.76
  6. Step 6: Final answer
    x = 5,165.66

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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.