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Finding the Fourth Proportional to 6,713.40, 10,069.02 and 1,783.14

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Solution

The fourth proportional to 6,713.40, 10,069.02 and 1,783.14 is: 2,674.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,713.40 : 10,069.02 = 1,783.14 : x
  2. Step 2: Convert to fraction form
    6,713.40/10,069.02 = 1,783.14/x
  3. Step 3: Cross multiply
    6,713.40x = 10,069.02 × 1,783.14
  4. Step 4: Simplify right side
    6,713.40x = 17,954,472.32
  5. Step 5: Solve for x
    x = 17,954,472.32/6,713.40
  6. Step 6: Final answer
    x = 2,674.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.