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Finding the Fourth Proportional to 9,806.08, 14,695.08 and 7,604.50

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Solution

The fourth proportional to 9,806.08, 14,695.08 and 7,604.50 is: 11,395.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.08 : 14,695.08 = 7,604.50 : x
  2. Step 2: Convert to fraction form
    9,806.08/14,695.08 = 7,604.50/x
  3. Step 3: Cross multiply
    9,806.08x = 14,695.08 × 7,604.50
  4. Step 4: Simplify right side
    9,806.08x = 111,748,735.86
  5. Step 5: Solve for x
    x = 111,748,735.86/9,806.08
  6. Step 6: Final answer
    x = 11,395.86

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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.