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Finding the Fourth Proportional to 25,194.90, 37,797.97 and 7,666.09

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Solution

The fourth proportional to 25,194.90, 37,797.97 and 7,666.09 is: 11,500.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,194.90 : 37,797.97 = 7,666.09 : x
  2. Step 2: Convert to fraction form
    25,194.90/37,797.97 = 7,666.09/x
  3. Step 3: Cross multiply
    25,194.90x = 37,797.97 × 7,666.09
  4. Step 4: Simplify right side
    25,194.90x = 289,762,731.60
  5. Step 5: Solve for x
    x = 289,762,731.60/25,194.90
  6. Step 6: Final answer
    x = 11,500.85

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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.