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Finding the Fourth Proportional to 5,951.44, 8,214.24 and 3,962.08

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Solution

The fourth proportional to 5,951.44, 8,214.24 and 3,962.08 is: 5,468.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,951.44 : 8,214.24 = 3,962.08 : x
  2. Step 2: Convert to fraction form
    5,951.44/8,214.24 = 3,962.08/x
  3. Step 3: Cross multiply
    5,951.44x = 8,214.24 × 3,962.08
  4. Step 4: Simplify right side
    5,951.44x = 32,545,476.02
  5. Step 5: Solve for x
    x = 32,545,476.02/5,951.44
  6. Step 6: Final answer
    x = 5,468.50

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1.5x scale

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.