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Finding the Fourth Proportional to 6,221.16, 8,593.38 and 4,646.52

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Solution

The fourth proportional to 6,221.16, 8,593.38 and 4,646.52 is: 6,418.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,221.16 : 8,593.38 = 4,646.52 : x
  2. Step 2: Convert to fraction form
    6,221.16/8,593.38 = 4,646.52/x
  3. Step 3: Cross multiply
    6,221.16x = 8,593.38 × 4,646.52
  4. Step 4: Simplify right side
    6,221.16x = 39,929,312.04
  5. Step 5: Solve for x
    x = 39,929,312.04/6,221.16
  6. Step 6: Final answer
    x = 6,418.31

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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.