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Finding the Fourth Proportional to 7,234.20, 10,851.30 and 6,802.20

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Solution

The fourth proportional to 7,234.20, 10,851.30 and 6,802.20 is: 10,203.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.20 : 10,851.30 = 6,802.20 : x
  2. Step 2: Convert to fraction form
    7,234.20/10,851.30 = 6,802.20/x
  3. Step 3: Cross multiply
    7,234.20x = 10,851.30 × 6,802.20
  4. Step 4: Simplify right side
    7,234.20x = 73,812,712.86
  5. Step 5: Solve for x
    x = 73,812,712.86/7,234.20
  6. Step 6: Final answer
    x = 10,203.30

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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.