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Finding the Fourth Proportional to 9,334.92, 14,002.20 and 2,314.95

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Solution

The fourth proportional to 9,334.92, 14,002.20 and 2,314.95 is: 3,472.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,334.92 : 14,002.20 = 2,314.95 : x
  2. Step 2: Convert to fraction form
    9,334.92/14,002.20 = 2,314.95/x
  3. Step 3: Cross multiply
    9,334.92x = 14,002.20 × 2,314.95
  4. Step 4: Simplify right side
    9,334.92x = 32,414,392.89
  5. Step 5: Solve for x
    x = 32,414,392.89/9,334.92
  6. Step 6: Final answer
    x = 3,472.38

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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.