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Finding the Fourth Proportional to 6,713.65, 10,069.68 and 1,783.67

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Solution

The fourth proportional to 6,713.65, 10,069.68 and 1,783.67 is: 2,675.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,713.65 : 10,069.68 = 1,783.67 : x
  2. Step 2: Convert to fraction form
    6,713.65/10,069.68 = 1,783.67/x
  3. Step 3: Cross multiply
    6,713.65x = 10,069.68 × 1,783.67
  4. Step 4: Simplify right side
    6,713.65x = 17,960,980.23
  5. Step 5: Solve for x
    x = 17,960,980.23/6,713.65
  6. Step 6: Final answer
    x = 2,675.29

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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.