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Finding the Fourth Proportional to 6,584.04, 9,083.61 and 4,227.48

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Solution

The fourth proportional to 6,584.04, 9,083.61 and 4,227.48 is: 5,832.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.04 : 9,083.61 = 4,227.48 : x
  2. Step 2: Convert to fraction form
    6,584.04/9,083.61 = 4,227.48/x
  3. Step 3: Cross multiply
    6,584.04x = 9,083.61 × 4,227.48
  4. Step 4: Simplify right side
    6,584.04x = 38,400,779.60
  5. Step 5: Solve for x
    x = 38,400,779.60/6,584.04
  6. Step 6: Final answer
    x = 5,832.40

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Half 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.