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Finding the Fourth Proportional to 6,104.01, 9,156.01 and 2,207.50

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Solution

The fourth proportional to 6,104.01, 9,156.01 and 2,207.50 is: 3,311.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,104.01 : 9,156.01 = 2,207.50 : x
  2. Step 2: Convert to fraction form
    6,104.01/9,156.01 = 2,207.50/x
  3. Step 3: Cross multiply
    6,104.01x = 9,156.01 × 2,207.50
  4. Step 4: Simplify right side
    6,104.01x = 20,211,886.56
  5. Step 5: Solve for x
    x = 20,211,886.56/6,104.01
  6. Step 6: Final answer
    x = 3,311.25

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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.