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Finding the Fourth Proportional to 6,584.72, 9,875.02 and 2,201.15

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Solution

The fourth proportional to 6,584.72, 9,875.02 and 2,201.15 is: 3,301.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.72 : 9,875.02 = 2,201.15 : x
  2. Step 2: Convert to fraction form
    6,584.72/9,875.02 = 2,201.15/x
  3. Step 3: Cross multiply
    6,584.72x = 9,875.02 × 2,201.15
  4. Step 4: Simplify right side
    6,584.72x = 21,736,370.08
  5. Step 5: Solve for x
    x = 21,736,370.08/6,584.72
  6. Step 6: Final answer
    x = 3,301.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.