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Finding the Fourth Proportional to 25,162.60, 37,744.44 and 9,151.60

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Solution

The fourth proportional to 25,162.60, 37,744.44 and 9,151.60 is: 13,727.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,162.60 : 37,744.44 = 9,151.60 : x
  2. Step 2: Convert to fraction form
    25,162.60/37,744.44 = 9,151.60/x
  3. Step 3: Cross multiply
    25,162.60x = 37,744.44 × 9,151.60
  4. Step 4: Simplify right side
    25,162.60x = 345,422,017.10
  5. Step 5: Solve for x
    x = 345,422,017.10/25,162.60
  6. Step 6: Final answer
    x = 13,727.60

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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.