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Finding the Fourth Proportional to 14,092.77, 19,447.78 and 7,805.01

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Solution

The fourth proportional to 14,092.77, 19,447.78 and 7,805.01 is: 10,770.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,092.77 : 19,447.78 = 7,805.01 : x
  2. Step 2: Convert to fraction form
    14,092.77/19,447.78 = 7,805.01/x
  3. Step 3: Cross multiply
    14,092.77x = 19,447.78 × 7,805.01
  4. Step 4: Simplify right side
    14,092.77x = 151,790,117.38
  5. Step 5: Solve for x
    x = 151,790,117.38/14,092.77
  6. Step 6: Final answer
    x = 10,770.78

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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.