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Finding the Fourth Proportional to 7,697.75, 11,549.10 and 3,080.75

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Solution

The fourth proportional to 7,697.75, 11,549.10 and 3,080.75 is: 4,622.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.75 : 11,549.10 = 3,080.75 : x
  2. Step 2: Convert to fraction form
    7,697.75/11,549.10 = 3,080.75/x
  3. Step 3: Cross multiply
    7,697.75x = 11,549.10 × 3,080.75
  4. Step 4: Simplify right side
    7,697.75x = 35,579,889.83
  5. Step 5: Solve for x
    x = 35,579,889.83/7,697.75
  6. Step 6: Final answer
    x = 4,622.12

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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.