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Finding the Fourth Proportional to 10,496.85, 15,745.20 and 3,100.67

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Solution

The fourth proportional to 10,496.85, 15,745.20 and 3,100.67 is: 4,650.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496.85 : 15,745.20 = 3,100.67 : x
  2. Step 2: Convert to fraction form
    10,496.85/15,745.20 = 3,100.67/x
  3. Step 3: Cross multiply
    10,496.85x = 15,745.20 × 3,100.67
  4. Step 4: Simplify right side
    10,496.85x = 48,820,669.28
  5. Step 5: Solve for x
    x = 48,820,669.28/10,496.85
  6. Step 6: Final answer
    x = 4,650.98

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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.