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Finding the Fourth Proportional to 6,582.39, 9,083.82 and 3,598.20

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Solution

The fourth proportional to 6,582.39, 9,083.82 and 3,598.20 is: 4,965.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,582.39 : 9,083.82 = 3,598.20 : x
  2. Step 2: Convert to fraction form
    6,582.39/9,083.82 = 3,598.20/x
  3. Step 3: Cross multiply
    6,582.39x = 9,083.82 × 3,598.20
  4. Step 4: Simplify right side
    6,582.39x = 32,685,401.12
  5. Step 5: Solve for x
    x = 32,685,401.12/6,582.39
  6. Step 6: Final answer
    x = 4,965.58

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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.