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Finding the Fourth Proportional to 4,509.68, 6,769.07 and 3,993.00

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Solution

The fourth proportional to 4,509.68, 6,769.07 and 3,993.00 is: 5,993.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.68 : 6,769.07 = 3,993.00 : x
  2. Step 2: Convert to fraction form
    4,509.68/6,769.07 = 3,993.00/x
  3. Step 3: Cross multiply
    4,509.68x = 6,769.07 × 3,993.00
  4. Step 4: Simplify right side
    4,509.68x = 27,028,866.13
  5. Step 5: Solve for x
    x = 27,028,866.13/4,509.68
  6. Step 6: Final answer
    x = 5,993.53

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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.