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Finding the Fourth Proportional to 9,824.91, 14,737.38 and 8,089.89

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Solution

The fourth proportional to 9,824.91, 14,737.38 and 8,089.89 is: 12,134.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,824.91 : 14,737.38 = 8,089.89 : x
  2. Step 2: Convert to fraction form
    9,824.91/14,737.38 = 8,089.89/x
  3. Step 3: Cross multiply
    9,824.91x = 14,737.38 × 8,089.89
  4. Step 4: Simplify right side
    9,824.91x = 119,223,783.09
  5. Step 5: Solve for x
    x = 119,223,783.09/9,824.91
  6. Step 6: Final answer
    x = 12,134.85

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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.