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Finding the Fourth Proportional to 9,699.96, 14,550.26 and 2,680.50

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Solution

The fourth proportional to 9,699.96, 14,550.26 and 2,680.50 is: 4,020.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.96 : 14,550.26 = 2,680.50 : x
  2. Step 2: Convert to fraction form
    9,699.96/14,550.26 = 2,680.50/x
  3. Step 3: Cross multiply
    9,699.96x = 14,550.26 × 2,680.50
  4. Step 4: Simplify right side
    9,699.96x = 39,001,971.93
  5. Step 5: Solve for x
    x = 39,001,971.93/9,699.96
  6. Step 6: Final answer
    x = 4,020.84

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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.