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Finding the Fourth Proportional to 10,807.70, 16,213.14 and 3,410.48

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Solution

The fourth proportional to 10,807.70, 16,213.14 and 3,410.48 is: 5,116.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,807.70 : 16,213.14 = 3,410.48 : x
  2. Step 2: Convert to fraction form
    10,807.70/16,213.14 = 3,410.48/x
  3. Step 3: Cross multiply
    10,807.70x = 16,213.14 × 3,410.48
  4. Step 4: Simplify right side
    10,807.70x = 55,294,630.24
  5. Step 5: Solve for x
    x = 55,294,630.24/10,807.70
  6. Step 6: Final answer
    x = 5,116.23

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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.