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Finding the Fourth Proportional to 25,146.35, 37,696.07 and 8,494.74

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Solution

The fourth proportional to 25,146.35, 37,696.07 and 8,494.74 is: 12,734.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,146.35 : 37,696.07 = 8,494.74 : x
  2. Step 2: Convert to fraction form
    25,146.35/37,696.07 = 8,494.74/x
  3. Step 3: Cross multiply
    25,146.35x = 37,696.07 × 8,494.74
  4. Step 4: Simplify right side
    25,146.35x = 320,218,287.13
  5. Step 5: Solve for x
    x = 320,218,287.13/25,146.35
  6. Step 6: Final answer
    x = 12,734.19

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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.