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Finding the Fourth Proportional to 6,659.76, 9,986.76 and 2,041.68

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Solution

The fourth proportional to 6,659.76, 9,986.76 and 2,041.68 is: 3,061.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,659.76 : 9,986.76 = 2,041.68 : x
  2. Step 2: Convert to fraction form
    6,659.76/9,986.76 = 2,041.68/x
  3. Step 3: Cross multiply
    6,659.76x = 9,986.76 × 2,041.68
  4. Step 4: Simplify right side
    6,659.76x = 20,389,768.16
  5. Step 5: Solve for x
    x = 20,389,768.16/6,659.76
  6. Step 6: Final answer
    x = 3,061.64

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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.