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Finding the Fourth Proportional to 12,716.80, 19,073.98 and 7,783.90

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Solution

The fourth proportional to 12,716.80, 19,073.98 and 7,783.90 is: 11,675.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,716.80 : 19,073.98 = 7,783.90 : x
  2. Step 2: Convert to fraction form
    12,716.80/19,073.98 = 7,783.90/x
  3. Step 3: Cross multiply
    12,716.80x = 19,073.98 × 7,783.90
  4. Step 4: Simplify right side
    12,716.80x = 148,469,914.97
  5. Step 5: Solve for x
    x = 148,469,914.97/12,716.80
  6. Step 6: Final answer
    x = 11,675.10

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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.