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Finding the Fourth Proportional to 14,335.14, 19,781.82 and 7,962.14

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Solution

The fourth proportional to 14,335.14, 19,781.82 and 7,962.14 is: 10,987.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,335.14 : 19,781.82 = 7,962.14 : x
  2. Step 2: Convert to fraction form
    14,335.14/19,781.82 = 7,962.14/x
  3. Step 3: Cross multiply
    14,335.14x = 19,781.82 × 7,962.14
  4. Step 4: Simplify right side
    14,335.14x = 157,505,521.39
  5. Step 5: Solve for x
    x = 157,505,521.39/14,335.14
  6. Step 6: Final answer
    x = 10,987.37

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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.