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Finding the Fourth Proportional to 6,802.40, 10,213.20 and 5,343.20

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Solution

The fourth proportional to 6,802.40, 10,213.20 and 5,343.20 is: 8,022.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.40 : 10,213.20 = 5,343.20 : x
  2. Step 2: Convert to fraction form
    6,802.40/10,213.20 = 5,343.20/x
  3. Step 3: Cross multiply
    6,802.40x = 10,213.20 × 5,343.20
  4. Step 4: Simplify right side
    6,802.40x = 54,571,170.24
  5. Step 5: Solve for x
    x = 54,571,170.24/6,802.40
  6. Step 6: Final answer
    x = 8,022.34

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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.