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Finding the Fourth Proportional to 7,700.06, 11,550.09 and 3,083.06

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Solution

The fourth proportional to 7,700.06, 11,550.09 and 3,083.06 is: 4,624.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.06 : 11,550.09 = 3,083.06 : x
  2. Step 2: Convert to fraction form
    7,700.06/11,550.09 = 3,083.06/x
  3. Step 3: Cross multiply
    7,700.06x = 11,550.09 × 3,083.06
  4. Step 4: Simplify right side
    7,700.06x = 35,609,660.91
  5. Step 5: Solve for x
    x = 35,609,660.91/7,700.06
  6. Step 6: Final answer
    x = 4,624.59

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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.