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Finding the Fourth Proportional to 6,583.08, 9,083.78 and 4,228.42

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Solution

The fourth proportional to 6,583.08, 9,083.78 and 4,228.42 is: 5,834.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,583.08 : 9,083.78 = 4,228.42 : x
  2. Step 2: Convert to fraction form
    6,583.08/9,083.78 = 4,228.42/x
  3. Step 3: Cross multiply
    6,583.08x = 9,083.78 × 4,228.42
  4. Step 4: Simplify right side
    6,583.08x = 38,410,037.03
  5. Step 5: Solve for x
    x = 38,410,037.03/6,583.08
  6. Step 6: Final answer
    x = 5,834.66

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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.