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Finding the Fourth Proportional to 6,299.52, 9,448.98 and 1,619.64

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Solution

The fourth proportional to 6,299.52, 9,448.98 and 1,619.64 is: 2,429.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.52 : 9,448.98 = 1,619.64 : x
  2. Step 2: Convert to fraction form
    6,299.52/9,448.98 = 1,619.64/x
  3. Step 3: Cross multiply
    6,299.52x = 9,448.98 × 1,619.64
  4. Step 4: Simplify right side
    6,299.52x = 15,303,945.97
  5. Step 5: Solve for x
    x = 15,303,945.97/6,299.52
  6. Step 6: Final answer
    x = 2,429.38

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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.