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Finding the Fourth Proportional to 8,697.24, 13,049.22 and 4,077

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Solution

The fourth proportional to 8,697.24, 13,049.22 and 4,077 is: 6,117.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,697.24 : 13,049.22 = 4,077 : x
  2. Step 2: Convert to fraction form
    8,697.24/13,049.22 = 4,077/x
  3. Step 3: Cross multiply
    8,697.24x = 13,049.22 × 4,077
  4. Step 4: Simplify right side
    8,697.24x = 53,201,669.94
  5. Step 5: Solve for x
    x = 53,201,669.94/8,697.24
  6. Step 6: Final answer
    x = 6,117.08

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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.