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Finding the Fourth Proportional to 14,092.42, 19,447.96 and 7,805.38

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Solution

The fourth proportional to 14,092.42, 19,447.96 and 7,805.38 is: 10,771.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,092.42 : 19,447.96 = 7,805.38 : x
  2. Step 2: Convert to fraction form
    14,092.42/19,447.96 = 7,805.38/x
  3. Step 3: Cross multiply
    14,092.42x = 19,447.96 × 7,805.38
  4. Step 4: Simplify right side
    14,092.42x = 151,798,718.02
  5. Step 5: Solve for x
    x = 151,798,718.02/14,092.42
  6. Step 6: Final answer
    x = 10,771.66

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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.