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Finding the Fourth Proportional to 6,584.76, 9,084.42 and 4,228.20

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Solution

The fourth proportional to 6,584.76, 9,084.42 and 4,228.20 is: 5,833.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.76 : 9,084.42 = 4,228.20 : x
  2. Step 2: Convert to fraction form
    6,584.76/9,084.42 = 4,228.20/x
  3. Step 3: Cross multiply
    6,584.76x = 9,084.42 × 4,228.20
  4. Step 4: Simplify right side
    6,584.76x = 38,410,744.64
  5. Step 5: Solve for x
    x = 38,410,744.64/6,584.76
  6. Step 6: Final answer
    x = 5,833.28

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Half scale
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Double scale
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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.