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Finding the Fourth Proportional to 8,403.84, 12,608.24 and 3,473.76

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Solution

The fourth proportional to 8,403.84, 12,608.24 and 3,473.76 is: 5,211.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,403.84 : 12,608.24 = 3,473.76 : x
  2. Step 2: Convert to fraction form
    8,403.84/12,608.24 = 3,473.76/x
  3. Step 3: Cross multiply
    8,403.84x = 12,608.24 × 3,473.76
  4. Step 4: Simplify right side
    8,403.84x = 43,797,999.78
  5. Step 5: Solve for x
    x = 43,797,999.78/8,403.84
  6. Step 6: Final answer
    x = 5,211.67

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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.