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Finding the Fourth Proportional to 25,245.78, 37,874.22 and 7,475.06

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Solution

The fourth proportional to 25,245.78, 37,874.22 and 7,475.06 is: 11,214.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,245.78 : 37,874.22 = 7,475.06 : x
  2. Step 2: Convert to fraction form
    25,245.78/37,874.22 = 7,475.06/x
  3. Step 3: Cross multiply
    25,245.78x = 37,874.22 × 7,475.06
  4. Step 4: Simplify right side
    25,245.78x = 283,112,066.95
  5. Step 5: Solve for x
    x = 283,112,066.95/25,245.78
  6. Step 6: Final answer
    x = 11,214.23

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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.