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Finding the Fourth Proportional to 25,209.88, 37,813.44 and 7,678.24

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Solution

The fourth proportional to 25,209.88, 37,813.44 and 7,678.24 is: 11,516.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,209.88 : 37,813.44 = 7,678.24 : x
  2. Step 2: Convert to fraction form
    25,209.88/37,813.44 = 7,678.24/x
  3. Step 3: Cross multiply
    25,209.88x = 37,813.44 × 7,678.24
  4. Step 4: Simplify right side
    25,209.88x = 290,340,667.55
  5. Step 5: Solve for x
    x = 290,340,667.55/25,209.88
  6. Step 6: Final answer
    x = 11,516.94

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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.