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Finding the Fourth Proportional to 10,472.70, 14,453.20 and 5,757.87

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Solution

The fourth proportional to 10,472.70, 14,453.20 and 5,757.87 is: 7,946.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.70 : 14,453.20 = 5,757.87 : x
  2. Step 2: Convert to fraction form
    10,472.70/14,453.20 = 5,757.87/x
  3. Step 3: Cross multiply
    10,472.70x = 14,453.20 × 5,757.87
  4. Step 4: Simplify right side
    10,472.70x = 83,219,560.02
  5. Step 5: Solve for x
    x = 83,219,560.02/10,472.70
  6. Step 6: Final answer
    x = 7,946.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.