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Finding the Fourth Proportional to 6,771.47, 10,157.00 and 3,261.74

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Solution

The fourth proportional to 6,771.47, 10,157.00 and 3,261.74 is: 4,892.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,771.47 : 10,157.00 = 3,261.74 : x
  2. Step 2: Convert to fraction form
    6,771.47/10,157.00 = 3,261.74/x
  3. Step 3: Cross multiply
    6,771.47x = 10,157.00 × 3,261.74
  4. Step 4: Simplify right side
    6,771.47x = 33,129,426.09
  5. Step 5: Solve for x
    x = 33,129,426.09/6,771.47
  6. Step 6: Final answer
    x = 4,892.50

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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.