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Finding the Fourth Proportional to 6,599.60, 9,874.77 and 3,827.57

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Solution

The fourth proportional to 6,599.60, 9,874.77 and 3,827.57 is: 5,727.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,599.60 : 9,874.77 = 3,827.57 : x
  2. Step 2: Convert to fraction form
    6,599.60/9,874.77 = 3,827.57/x
  3. Step 3: Cross multiply
    6,599.60x = 9,874.77 × 3,827.57
  4. Step 4: Simplify right side
    6,599.60x = 37,796,324.04
  5. Step 5: Solve for x
    x = 37,796,324.04/6,599.60
  6. Step 6: Final answer
    x = 5,727.07

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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.