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Finding the Fourth Proportional to 25,146.22, 37,719.64 and 7,616.82

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Solution

The fourth proportional to 25,146.22, 37,719.64 and 7,616.82 is: 11,425.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,146.22 : 37,719.64 = 7,616.82 : x
  2. Step 2: Convert to fraction form
    25,146.22/37,719.64 = 7,616.82/x
  3. Step 3: Cross multiply
    25,146.22x = 37,719.64 × 7,616.82
  4. Step 4: Simplify right side
    25,146.22x = 287,303,708.34
  5. Step 5: Solve for x
    x = 287,303,708.34/25,146.22
  6. Step 6: Final answer
    x = 11,425.32

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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.