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Finding the Fourth Proportional to 10,847.81, 16,253.13 and 7,283.27

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Solution

The fourth proportional to 10,847.81, 16,253.13 and 7,283.27 is: 10,912.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,847.81 : 16,253.13 = 7,283.27 : x
  2. Step 2: Convert to fraction form
    10,847.81/16,253.13 = 7,283.27/x
  3. Step 3: Cross multiply
    10,847.81x = 16,253.13 × 7,283.27
  4. Step 4: Simplify right side
    10,847.81x = 118,375,852.87
  5. Step 5: Solve for x
    x = 118,375,852.87/10,847.81
  6. Step 6: Final answer
    x = 10,912.42

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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.