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Finding the Fourth Proportional to 13,805.22, 19,053.19 and 7,835.62

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Solution

The fourth proportional to 13,805.22, 19,053.19 and 7,835.62 is: 10,814.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,805.22 : 19,053.19 = 7,835.62 : x
  2. Step 2: Convert to fraction form
    13,805.22/19,053.19 = 7,835.62/x
  3. Step 3: Cross multiply
    13,805.22x = 19,053.19 × 7,835.62
  4. Step 4: Simplify right side
    13,805.22x = 149,293,556.63
  5. Step 5: Solve for x
    x = 149,293,556.63/13,805.22
  6. Step 6: Final answer
    x = 10,814.28

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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.