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Finding the Fourth Proportional to 6,655.50, 9,983.46 and 2,494.50

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Solution

The fourth proportional to 6,655.50, 9,983.46 and 2,494.50 is: 3,741.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,655.50 : 9,983.46 = 2,494.50 : x
  2. Step 2: Convert to fraction form
    6,655.50/9,983.46 = 2,494.50/x
  3. Step 3: Cross multiply
    6,655.50x = 9,983.46 × 2,494.50
  4. Step 4: Simplify right side
    6,655.50x = 24,903,740.97
  5. Step 5: Solve for x
    x = 24,903,740.97/6,655.50
  6. Step 6: Final answer
    x = 3,741.83

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1.5x scale

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.