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Finding the Fourth Proportional to 8,295.86, 12,444.16 and 2,749.70

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Solution

The fourth proportional to 8,295.86, 12,444.16 and 2,749.70 is: 4,124.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,295.86 : 12,444.16 = 2,749.70 : x
  2. Step 2: Convert to fraction form
    8,295.86/12,444.16 = 2,749.70/x
  3. Step 3: Cross multiply
    8,295.86x = 12,444.16 × 2,749.70
  4. Step 4: Simplify right side
    8,295.86x = 34,217,706.75
  5. Step 5: Solve for x
    x = 34,217,706.75/8,295.86
  6. Step 6: Final answer
    x = 4,124.67

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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.