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Finding the Fourth Proportional to 6,220.38, 8,582.63 and 3,531

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Solution

The fourth proportional to 6,220.38, 8,582.63 and 3,531 is: 4,871.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,220.38 : 8,582.63 = 3,531 : x
  2. Step 2: Convert to fraction form
    6,220.38/8,582.63 = 3,531/x
  3. Step 3: Cross multiply
    6,220.38x = 8,582.63 × 3,531
  4. Step 4: Simplify right side
    6,220.38x = 30,305,248.88
  5. Step 5: Solve for x
    x = 30,305,248.88/6,220.38
  6. Step 6: Final answer
    x = 4,871.93

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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.