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Finding the Fourth Proportional to 6,570.74, 9,065.93 and 3,916.26

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Solution

The fourth proportional to 6,570.74, 9,065.93 and 3,916.26 is: 5,403.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570.74 : 9,065.93 = 3,916.26 : x
  2. Step 2: Convert to fraction form
    6,570.74/9,065.93 = 3,916.26/x
  3. Step 3: Cross multiply
    6,570.74x = 9,065.93 × 3,916.26
  4. Step 4: Simplify right side
    6,570.74x = 35,504,519.44
  5. Step 5: Solve for x
    x = 35,504,519.44/6,570.74
  6. Step 6: Final answer
    x = 5,403.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.