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Finding the Fourth Proportional to 6,313.47, 9,470.22 and 2,153.94

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Solution

The fourth proportional to 6,313.47, 9,470.22 and 2,153.94 is: 3,230.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,313.47 : 9,470.22 = 2,153.94 : x
  2. Step 2: Convert to fraction form
    6,313.47/9,470.22 = 2,153.94/x
  3. Step 3: Cross multiply
    6,313.47x = 9,470.22 × 2,153.94
  4. Step 4: Simplify right side
    6,313.47x = 20,398,285.67
  5. Step 5: Solve for x
    x = 20,398,285.67/6,313.47
  6. Step 6: Final answer
    x = 3,230.92

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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.