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Finding the Fourth Proportional to 7,797.06, 11,698.50 and 4,679.30

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Solution

The fourth proportional to 7,797.06, 11,698.50 and 4,679.30 is: 7,020.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797.06 : 11,698.50 = 4,679.30 : x
  2. Step 2: Convert to fraction form
    7,797.06/11,698.50 = 4,679.30/x
  3. Step 3: Cross multiply
    7,797.06x = 11,698.50 × 4,679.30
  4. Step 4: Simplify right side
    7,797.06x = 54,740,820.30
  5. Step 5: Solve for x
    x = 54,740,820.30/7,797.06
  6. Step 6: Final answer
    x = 7,020.70

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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.