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Finding the Fourth Proportional to 6,802.17, 10,204.07 and 2,420.07

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Solution

The fourth proportional to 6,802.17, 10,204.07 and 2,420.07 is: 3,630.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.17 : 10,204.07 = 2,420.07 : x
  2. Step 2: Convert to fraction form
    6,802.17/10,204.07 = 2,420.07/x
  3. Step 3: Cross multiply
    6,802.17x = 10,204.07 × 2,420.07
  4. Step 4: Simplify right side
    6,802.17x = 24,694,551.58
  5. Step 5: Solve for x
    x = 24,694,551.58/6,802.17
  6. Step 6: Final answer
    x = 3,630.39

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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.