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Finding the Fourth Proportional to 7,034.77, 9,707.87 and 3,847.99

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Solution

The fourth proportional to 7,034.77, 9,707.87 and 3,847.99 is: 5,310.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,034.77 : 9,707.87 = 3,847.99 : x
  2. Step 2: Convert to fraction form
    7,034.77/9,707.87 = 3,847.99/x
  3. Step 3: Cross multiply
    7,034.77x = 9,707.87 × 3,847.99
  4. Step 4: Simplify right side
    7,034.77x = 37,355,786.68
  5. Step 5: Solve for x
    x = 37,355,786.68/7,034.77
  6. Step 6: Final answer
    x = 5,310.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.