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Finding the Fourth Proportional to 6,277.52, 8,662.16 and 3,760.08

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Solution

The fourth proportional to 6,277.52, 8,662.16 and 3,760.08 is: 5,188.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.52 : 8,662.16 = 3,760.08 : x
  2. Step 2: Convert to fraction form
    6,277.52/8,662.16 = 3,760.08/x
  3. Step 3: Cross multiply
    6,277.52x = 8,662.16 × 3,760.08
  4. Step 4: Simplify right side
    6,277.52x = 32,570,414.57
  5. Step 5: Solve for x
    x = 32,570,414.57/6,277.52
  6. Step 6: Final answer
    x = 5,188.42

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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.