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Finding the Fourth Proportional to 6,313.92, 9,472.30 and 2,153.76

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Solution

The fourth proportional to 6,313.92, 9,472.30 and 2,153.76 is: 3,231.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,313.92 : 9,472.30 = 2,153.76 : x
  2. Step 2: Convert to fraction form
    6,313.92/9,472.30 = 2,153.76/x
  3. Step 3: Cross multiply
    6,313.92x = 9,472.30 × 2,153.76
  4. Step 4: Simplify right side
    6,313.92x = 20,401,060.85
  5. Step 5: Solve for x
    x = 20,401,060.85/6,313.92
  6. Step 6: Final answer
    x = 3,231.12

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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.