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Finding the Fourth Proportional to 17,698.64, 24,414 and 11,063.12

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Solution

The fourth proportional to 17,698.64, 24,414 and 11,063.12 is: 15,260.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,698.64 : 24,414 = 11,063.12 : x
  2. Step 2: Convert to fraction form
    17,698.64/24,414 = 11,063.12/x
  3. Step 3: Cross multiply
    17,698.64x = 24,414 × 11,063.12
  4. Step 4: Simplify right side
    17,698.64x = 270,095,011.68
  5. Step 5: Solve for x
    x = 270,095,011.68/17,698.64
  6. Step 6: Final answer
    x = 15,260.78

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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.