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Finding the Fourth Proportional to 11,693.84, 17,540.16 and 2,928.24

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Solution

The fourth proportional to 11,693.84, 17,540.16 and 2,928.24 is: 4,392.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,693.84 : 17,540.16 = 2,928.24 : x
  2. Step 2: Convert to fraction form
    11,693.84/17,540.16 = 2,928.24/x
  3. Step 3: Cross multiply
    11,693.84x = 17,540.16 × 2,928.24
  4. Step 4: Simplify right side
    11,693.84x = 51,361,798.12
  5. Step 5: Solve for x
    x = 51,361,798.12/11,693.84
  6. Step 6: Final answer
    x = 4,392.21

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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.