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Finding the Fourth Proportional to 6,582.21, 9,083.38 and 3,598.15

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Solution

The fourth proportional to 6,582.21, 9,083.38 and 3,598.15 is: 4,965.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,582.21 : 9,083.38 = 3,598.15 : x
  2. Step 2: Convert to fraction form
    6,582.21/9,083.38 = 3,598.15/x
  3. Step 3: Cross multiply
    6,582.21x = 9,083.38 × 3,598.15
  4. Step 4: Simplify right side
    6,582.21x = 32,683,363.75
  5. Step 5: Solve for x
    x = 32,683,363.75/6,582.21
  6. Step 6: Final answer
    x = 4,965.41

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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.