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Finding the Fourth Proportional to 37,696.16, 56,544.24 and 9,993.12

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Solution

The fourth proportional to 37,696.16, 56,544.24 and 9,993.12 is: 14,989.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,696.16 : 56,544.24 = 9,993.12 : x
  2. Step 2: Convert to fraction form
    37,696.16/56,544.24 = 9,993.12/x
  3. Step 3: Cross multiply
    37,696.16x = 56,544.24 × 9,993.12
  4. Step 4: Simplify right side
    37,696.16x = 565,053,375.63
  5. Step 5: Solve for x
    x = 565,053,375.63/37,696.16
  6. Step 6: Final answer
    x = 14,989.68

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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.