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Finding the Fourth Proportional to 14,092.70, 19,448.52 and 7,805.07

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Solution

The fourth proportional to 14,092.70, 19,448.52 and 7,805.07 is: 10,771.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,092.70 : 19,448.52 = 7,805.07 : x
  2. Step 2: Convert to fraction form
    14,092.70/19,448.52 = 7,805.07/x
  3. Step 3: Cross multiply
    14,092.70x = 19,448.52 × 7,805.07
  4. Step 4: Simplify right side
    14,092.70x = 151,797,060.00
  5. Step 5: Solve for x
    x = 151,797,060.00/14,092.70
  6. Step 6: Final answer
    x = 10,771.33

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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.