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Finding the Fourth Proportional to 10,688.80, 16,021.20 and 5,144.80

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Solution

The fourth proportional to 10,688.80, 16,021.20 and 5,144.80 is: 7,711.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,688.80 : 16,021.20 = 5,144.80 : x
  2. Step 2: Convert to fraction form
    10,688.80/16,021.20 = 5,144.80/x
  3. Step 3: Cross multiply
    10,688.80x = 16,021.20 × 5,144.80
  4. Step 4: Simplify right side
    10,688.80x = 82,425,869.76
  5. Step 5: Solve for x
    x = 82,425,869.76/10,688.80
  6. Step 6: Final answer
    x = 7,711.42

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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.