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Finding the Fourth Proportional to 14,131.88, 19,502.88 and 7,844.36

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Solution

The fourth proportional to 14,131.88, 19,502.88 and 7,844.36 is: 10,825.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,131.88 : 19,502.88 = 7,844.36 : x
  2. Step 2: Convert to fraction form
    14,131.88/19,502.88 = 7,844.36/x
  3. Step 3: Cross multiply
    14,131.88x = 19,502.88 × 7,844.36
  4. Step 4: Simplify right side
    14,131.88x = 152,987,611.76
  5. Step 5: Solve for x
    x = 152,987,611.76/14,131.88
  6. Step 6: Final answer
    x = 10,825.71

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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.