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Finding the Fourth Proportional to 25,113.78, 37,670.94 and 7,583.76

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Solution

The fourth proportional to 25,113.78, 37,670.94 and 7,583.76 is: 11,375.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,113.78 : 37,670.94 = 7,583.76 : x
  2. Step 2: Convert to fraction form
    25,113.78/37,670.94 = 7,583.76/x
  3. Step 3: Cross multiply
    25,113.78x = 37,670.94 × 7,583.76
  4. Step 4: Simplify right side
    25,113.78x = 285,687,367.93
  5. Step 5: Solve for x
    x = 285,687,367.93/25,113.78
  6. Step 6: Final answer
    x = 11,375.72

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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.