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Finding the Fourth Proportional to 6,980.22, 10,459.53 and 2,596.50

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Solution

The fourth proportional to 6,980.22, 10,459.53 and 2,596.50 is: 3,890.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.22 : 10,459.53 = 2,596.50 : x
  2. Step 2: Convert to fraction form
    6,980.22/10,459.53 = 2,596.50/x
  3. Step 3: Cross multiply
    6,980.22x = 10,459.53 × 2,596.50
  4. Step 4: Simplify right side
    6,980.22x = 27,158,169.65
  5. Step 5: Solve for x
    x = 27,158,169.65/6,980.22
  6. Step 6: Final answer
    x = 3,890.73

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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.