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Finding the Fourth Proportional to 6,582.50, 9,083.85 and 3,638.50

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Solution

The fourth proportional to 6,582.50, 9,083.85 and 3,638.50 is: 5,021.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,582.50 : 9,083.85 = 3,638.50 : x
  2. Step 2: Convert to fraction form
    6,582.50/9,083.85 = 3,638.50/x
  3. Step 3: Cross multiply
    6,582.50x = 9,083.85 × 3,638.50
  4. Step 4: Simplify right side
    6,582.50x = 33,051,588.23
  5. Step 5: Solve for x
    x = 33,051,588.23/6,582.50
  6. Step 6: Final answer
    x = 5,021.13

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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.