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Finding the Fourth Proportional to 6,965.29, 10,448.00 and 1,771.16

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Solution

The fourth proportional to 6,965.29, 10,448.00 and 1,771.16 is: 2,656.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965.29 : 10,448.00 = 1,771.16 : x
  2. Step 2: Convert to fraction form
    6,965.29/10,448.00 = 1,771.16/x
  3. Step 3: Cross multiply
    6,965.29x = 10,448.00 × 1,771.16
  4. Step 4: Simplify right side
    6,965.29x = 18,505,070.82
  5. Step 5: Solve for x
    x = 18,505,070.82/6,965.29
  6. Step 6: Final answer
    x = 2,656.76

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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.