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Finding the Fourth Proportional to 6,965.65, 10,448.43 and 1,771.48

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Solution

The fourth proportional to 6,965.65, 10,448.43 and 1,771.48 is: 2,657.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965.65 : 10,448.43 = 1,771.48 : x
  2. Step 2: Convert to fraction form
    6,965.65/10,448.43 = 1,771.48/x
  3. Step 3: Cross multiply
    6,965.65x = 10,448.43 × 1,771.48
  4. Step 4: Simplify right side
    6,965.65x = 18,509,184.78
  5. Step 5: Solve for x
    x = 18,509,184.78/6,965.65
  6. Step 6: Final answer
    x = 2,657.21

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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.