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Finding the Fourth Proportional to 6,583.40, 9,080.64 and 4,228.40

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Solution

The fourth proportional to 6,583.40, 9,080.64 and 4,228.40 is: 5,832.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,583.40 : 9,080.64 = 4,228.40 : x
  2. Step 2: Convert to fraction form
    6,583.40/9,080.64 = 4,228.40/x
  3. Step 3: Cross multiply
    6,583.40x = 9,080.64 × 4,228.40
  4. Step 4: Simplify right side
    6,583.40x = 38,396,578.18
  5. Step 5: Solve for x
    x = 38,396,578.18/6,583.40
  6. Step 6: Final answer
    x = 5,832.33

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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.