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Finding the Fourth Proportional to 25,201.62, 37,776.06 and 9,400.30

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Solution

The fourth proportional to 25,201.62, 37,776.06 and 9,400.30 is: 14,090.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,201.62 : 37,776.06 = 9,400.30 : x
  2. Step 2: Convert to fraction form
    25,201.62/37,776.06 = 9,400.30/x
  3. Step 3: Cross multiply
    25,201.62x = 37,776.06 × 9,400.30
  4. Step 4: Simplify right side
    25,201.62x = 355,106,202.38
  5. Step 5: Solve for x
    x = 355,106,202.38/25,201.62
  6. Step 6: Final answer
    x = 14,090.61

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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.