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Finding the Fourth Proportional to 14,092.76, 19,448.14 and 7,805.26

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Solution

The fourth proportional to 14,092.76, 19,448.14 and 7,805.26 is: 10,771.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,092.76 : 19,448.14 = 7,805.26 : x
  2. Step 2: Convert to fraction form
    14,092.76/19,448.14 = 7,805.26/x
  3. Step 3: Cross multiply
    14,092.76x = 19,448.14 × 7,805.26
  4. Step 4: Simplify right side
    14,092.76x = 151,797,789.22
  5. Step 5: Solve for x
    x = 151,797,789.22/14,092.76
  6. Step 6: Final answer
    x = 10,771.33

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Half scale
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Double scale
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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.