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Finding the Fourth Proportional to 6,364.56, 9,542.88 and 2,468.08

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Solution

The fourth proportional to 6,364.56, 9,542.88 and 2,468.08 is: 3,700.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.56 : 9,542.88 = 2,468.08 : x
  2. Step 2: Convert to fraction form
    6,364.56/9,542.88 = 2,468.08/x
  3. Step 3: Cross multiply
    6,364.56x = 9,542.88 × 2,468.08
  4. Step 4: Simplify right side
    6,364.56x = 23,552,591.27
  5. Step 5: Solve for x
    x = 23,552,591.27/6,364.56
  6. Step 6: Final answer
    x = 3,700.58

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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.