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Finding the Fourth Proportional to 6,007.60, 8,286.60 and 3,616.48

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Solution

The fourth proportional to 6,007.60, 8,286.60 and 3,616.48 is: 4,988.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,007.60 : 8,286.60 = 3,616.48 : x
  2. Step 2: Convert to fraction form
    6,007.60/8,286.60 = 3,616.48/x
  3. Step 3: Cross multiply
    6,007.60x = 8,286.60 × 3,616.48
  4. Step 4: Simplify right side
    6,007.60x = 29,968,323.17
  5. Step 5: Solve for x
    x = 29,968,323.17/6,007.60
  6. Step 6: Final answer
    x = 4,988.40

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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.