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Finding the Fourth Proportional to 6,314.76, 9,472.11 and 3,389.04

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Solution

The fourth proportional to 6,314.76, 9,472.11 and 3,389.04 is: 5,083.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.76 : 9,472.11 = 3,389.04 : x
  2. Step 2: Convert to fraction form
    6,314.76/9,472.11 = 3,389.04/x
  3. Step 3: Cross multiply
    6,314.76x = 9,472.11 × 3,389.04
  4. Step 4: Simplify right side
    6,314.76x = 32,101,359.67
  5. Step 5: Solve for x
    x = 32,101,359.67/6,314.76
  6. Step 6: Final answer
    x = 5,083.54

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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.