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Finding the Fourth Proportional to 6,655.13, 9,986.56 and 2,498.02

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Solution

The fourth proportional to 6,655.13, 9,986.56 and 2,498.02 is: 3,748.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,655.13 : 9,986.56 = 2,498.02 : x
  2. Step 2: Convert to fraction form
    6,655.13/9,986.56 = 2,498.02/x
  3. Step 3: Cross multiply
    6,655.13x = 9,986.56 × 2,498.02
  4. Step 4: Simplify right side
    6,655.13x = 24,946,651.57
  5. Step 5: Solve for x
    x = 24,946,651.57/6,655.13
  6. Step 6: Final answer
    x = 3,748.49

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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.