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Finding the Fourth Proportional to 6,802.23, 10,194.66 and 5,921.13

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Solution

The fourth proportional to 6,802.23, 10,194.66 and 5,921.13 is: 8,874.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.23 : 10,194.66 = 5,921.13 : x
  2. Step 2: Convert to fraction form
    6,802.23/10,194.66 = 5,921.13/x
  3. Step 3: Cross multiply
    6,802.23x = 10,194.66 × 5,921.13
  4. Step 4: Simplify right side
    6,802.23x = 60,363,907.17
  5. Step 5: Solve for x
    x = 60,363,907.17/6,802.23
  6. Step 6: Final answer
    x = 8,874.13

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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.