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Finding the Fourth Proportional to 6,661.54, 9,989.46 and 2,498.67

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Solution

The fourth proportional to 6,661.54, 9,989.46 and 2,498.67 is: 3,746.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,661.54 : 9,989.46 = 2,498.67 : x
  2. Step 2: Convert to fraction form
    6,661.54/9,989.46 = 2,498.67/x
  3. Step 3: Cross multiply
    6,661.54x = 9,989.46 × 2,498.67
  4. Step 4: Simplify right side
    6,661.54x = 24,960,364.02
  5. Step 5: Solve for x
    x = 24,960,364.02/6,661.54
  6. Step 6: Final answer
    x = 3,746.94

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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.