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Finding the Fourth Proportional to 6,501.85, 9,751.35 and 2,059.84

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Solution

The fourth proportional to 6,501.85, 9,751.35 and 2,059.84 is: 3,089.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501.85 : 9,751.35 = 2,059.84 : x
  2. Step 2: Convert to fraction form
    6,501.85/9,751.35 = 2,059.84/x
  3. Step 3: Cross multiply
    6,501.85x = 9,751.35 × 2,059.84
  4. Step 4: Simplify right side
    6,501.85x = 20,086,220.78
  5. Step 5: Solve for x
    x = 20,086,220.78/6,501.85
  6. Step 6: Final answer
    x = 3,089.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.