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Finding the Fourth Proportional to 7,707.66, 11,560.77 and 3,324.30

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Solution

The fourth proportional to 7,707.66, 11,560.77 and 3,324.30 is: 4,986.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.66 : 11,560.77 = 3,324.30 : x
  2. Step 2: Convert to fraction form
    7,707.66/11,560.77 = 3,324.30/x
  3. Step 3: Cross multiply
    7,707.66x = 11,560.77 × 3,324.30
  4. Step 4: Simplify right side
    7,707.66x = 38,431,467.71
  5. Step 5: Solve for x
    x = 38,431,467.71/7,707.66
  6. Step 6: Final answer
    x = 4,986.14

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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.