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Finding the Fourth Proportional to 6,261.34, 8,647.74 and 4,268.47

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Solution

The fourth proportional to 6,261.34, 8,647.74 and 4,268.47 is: 5,895.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,261.34 : 8,647.74 = 4,268.47 : x
  2. Step 2: Convert to fraction form
    6,261.34/8,647.74 = 4,268.47/x
  3. Step 3: Cross multiply
    6,261.34x = 8,647.74 × 4,268.47
  4. Step 4: Simplify right side
    6,261.34x = 36,912,618.76
  5. Step 5: Solve for x
    x = 36,912,618.76/6,261.34
  6. Step 6: Final answer
    x = 5,895.32

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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.