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Finding the Fourth Proportional to 6,299.51, 9,449.23 and 1,619.51

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Solution

The fourth proportional to 6,299.51, 9,449.23 and 1,619.51 is: 2,429.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.51 : 9,449.23 = 1,619.51 : x
  2. Step 2: Convert to fraction form
    6,299.51/9,449.23 = 1,619.51/x
  3. Step 3: Cross multiply
    6,299.51x = 9,449.23 × 1,619.51
  4. Step 4: Simplify right side
    6,299.51x = 15,303,122.48
  5. Step 5: Solve for x
    x = 15,303,122.48/6,299.51
  6. Step 6: Final answer
    x = 2,429.26

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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.