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Finding the Fourth Proportional to 25,193.63, 37,796.07 and 7,664.83

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Solution

The fourth proportional to 25,193.63, 37,796.07 and 7,664.83 is: 11,498.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,193.63 : 37,796.07 = 7,664.83 : x
  2. Step 2: Convert to fraction form
    25,193.63/37,796.07 = 7,664.83/x
  3. Step 3: Cross multiply
    25,193.63x = 37,796.07 × 7,664.83
  4. Step 4: Simplify right side
    25,193.63x = 289,700,342.36
  5. Step 5: Solve for x
    x = 289,700,342.36/25,193.63
  6. Step 6: Final answer
    x = 11,498.95

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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.