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Finding the Fourth Proportional to 6,662.24, 9,977.76 and 5,266.20

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Solution

The fourth proportional to 6,662.24, 9,977.76 and 5,266.20 is: 7,886.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,662.24 : 9,977.76 = 5,266.20 : x
  2. Step 2: Convert to fraction form
    6,662.24/9,977.76 = 5,266.20/x
  3. Step 3: Cross multiply
    6,662.24x = 9,977.76 × 5,266.20
  4. Step 4: Simplify right side
    6,662.24x = 52,544,879.71
  5. Step 5: Solve for x
    x = 52,544,879.71/6,662.24
  6. Step 6: Final answer
    x = 7,886.97

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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.