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Finding the Fourth Proportional to 14,202.82, 19,600.77 and 7,829.38

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Solution

The fourth proportional to 14,202.82, 19,600.77 and 7,829.38 is: 10,805.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,202.82 : 19,600.77 = 7,829.38 : x
  2. Step 2: Convert to fraction form
    14,202.82/19,600.77 = 7,829.38/x
  3. Step 3: Cross multiply
    14,202.82x = 19,600.77 × 7,829.38
  4. Step 4: Simplify right side
    14,202.82x = 153,461,876.62
  5. Step 5: Solve for x
    x = 153,461,876.62/14,202.82
  6. Step 6: Final answer
    x = 10,805.03

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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.