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Finding the Fourth Proportional to 6,534.41, 9,017.60 and 3,550.23

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Solution

The fourth proportional to 6,534.41, 9,017.60 and 3,550.23 is: 4,899.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534.41 : 9,017.60 = 3,550.23 : x
  2. Step 2: Convert to fraction form
    6,534.41/9,017.60 = 3,550.23/x
  3. Step 3: Cross multiply
    6,534.41x = 9,017.60 × 3,550.23
  4. Step 4: Simplify right side
    6,534.41x = 32,014,536.30
  5. Step 5: Solve for x
    x = 32,014,536.30/6,534.41
  6. Step 6: Final answer
    x = 4,899.38

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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.