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Finding the Fourth Proportional to 8,187.64, 12,266.78 and 4,976.10

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Solution

The fourth proportional to 8,187.64, 12,266.78 and 4,976.10 is: 7,455.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,187.64 : 12,266.78 = 4,976.10 : x
  2. Step 2: Convert to fraction form
    8,187.64/12,266.78 = 4,976.10/x
  3. Step 3: Cross multiply
    8,187.64x = 12,266.78 × 4,976.10
  4. Step 4: Simplify right side
    8,187.64x = 61,040,723.96
  5. Step 5: Solve for x
    x = 61,040,723.96/8,187.64
  6. Step 6: Final answer
    x = 7,455.23

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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.