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Finding the Fourth Proportional to 9,811.92, 14,718.96 and 4,882.80

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Solution

The fourth proportional to 9,811.92, 14,718.96 and 4,882.80 is: 7,324.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.92 : 14,718.96 = 4,882.80 : x
  2. Step 2: Convert to fraction form
    9,811.92/14,718.96 = 4,882.80/x
  3. Step 3: Cross multiply
    9,811.92x = 14,718.96 × 4,882.80
  4. Step 4: Simplify right side
    9,811.92x = 71,869,737.89
  5. Step 5: Solve for x
    x = 71,869,737.89/9,811.92
  6. Step 6: Final answer
    x = 7,324.74

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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.