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Finding the Fourth Proportional to 9,370.80, 13,989.66 and 8,334

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Solution

The fourth proportional to 9,370.80, 13,989.66 and 8,334 is: 12,441.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,370.80 : 13,989.66 = 8,334 : x
  2. Step 2: Convert to fraction form
    9,370.80/13,989.66 = 8,334/x
  3. Step 3: Cross multiply
    9,370.80x = 13,989.66 × 8,334
  4. Step 4: Simplify right side
    9,370.80x = 116,589,826.44
  5. Step 5: Solve for x
    x = 116,589,826.44/9,370.80
  6. Step 6: Final answer
    x = 12,441.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.