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Finding the Fourth Proportional to 11,758.88, 17,648.04 and 4,838.24

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Solution

The fourth proportional to 11,758.88, 17,648.04 and 4,838.24 is: 7,261.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,758.88 : 17,648.04 = 4,838.24 : x
  2. Step 2: Convert to fraction form
    11,758.88/17,648.04 = 4,838.24/x
  3. Step 3: Cross multiply
    11,758.88x = 17,648.04 × 4,838.24
  4. Step 4: Simplify right side
    11,758.88x = 85,385,453.05
  5. Step 5: Solve for x
    x = 85,385,453.05/11,758.88
  6. Step 6: Final answer
    x = 7,261.36

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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.