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Finding the Fourth Proportional to 23,837.68, 35,744.88 and 7,194.58

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Solution

The fourth proportional to 23,837.68, 35,744.88 and 7,194.58 is: 10,788.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,837.68 : 35,744.88 = 7,194.58 : x
  2. Step 2: Convert to fraction form
    23,837.68/35,744.88 = 7,194.58/x
  3. Step 3: Cross multiply
    23,837.68x = 35,744.88 × 7,194.58
  4. Step 4: Simplify right side
    23,837.68x = 257,169,398.75
  5. Step 5: Solve for x
    x = 257,169,398.75/23,837.68
  6. Step 6: Final answer
    x = 10,788.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.