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Finding the Fourth Proportional to 25,165.78, 37,748.76 and 7,635.76

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Solution

The fourth proportional to 25,165.78, 37,748.76 and 7,635.76 is: 11,453.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,165.78 : 37,748.76 = 7,635.76 : x
  2. Step 2: Convert to fraction form
    25,165.78/37,748.76 = 7,635.76/x
  3. Step 3: Cross multiply
    25,165.78x = 37,748.76 × 7,635.76
  4. Step 4: Simplify right side
    25,165.78x = 288,240,471.66
  5. Step 5: Solve for x
    x = 288,240,471.66/25,165.78
  6. Step 6: Final answer
    x = 11,453.67

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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.