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Finding the Fourth Proportional to 11,798.64, 17,698.32 and 3,033.48

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Solution

The fourth proportional to 11,798.64, 17,698.32 and 3,033.48 is: 4,550.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,798.64 : 17,698.32 = 3,033.48 : x
  2. Step 2: Convert to fraction form
    11,798.64/17,698.32 = 3,033.48/x
  3. Step 3: Cross multiply
    11,798.64x = 17,698.32 × 3,033.48
  4. Step 4: Simplify right side
    11,798.64x = 53,687,499.75
  5. Step 5: Solve for x
    x = 53,687,499.75/11,798.64
  6. Step 6: Final answer
    x = 4,550.31

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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.