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Finding the Fourth Proportional to 6,561.53, 9,845.37 and 3,274.88

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Solution

The fourth proportional to 6,561.53, 9,845.37 and 3,274.88 is: 4,913.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561.53 : 9,845.37 = 3,274.88 : x
  2. Step 2: Convert to fraction form
    6,561.53/9,845.37 = 3,274.88/x
  3. Step 3: Cross multiply
    6,561.53x = 9,845.37 × 3,274.88
  4. Step 4: Simplify right side
    6,561.53x = 32,242,405.31
  5. Step 5: Solve for x
    x = 32,242,405.31/6,561.53
  6. Step 6: Final answer
    x = 4,913.85

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1.5x scale

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.