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Finding the Fourth Proportional to 8,041.92, 12,041.01 and 6,802.62

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Solution

The fourth proportional to 8,041.92, 12,041.01 and 6,802.62 is: 10,185.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,041.92 : 12,041.01 = 6,802.62 : x
  2. Step 2: Convert to fraction form
    8,041.92/12,041.01 = 6,802.62/x
  3. Step 3: Cross multiply
    8,041.92x = 12,041.01 × 6,802.62
  4. Step 4: Simplify right side
    8,041.92x = 81,910,415.45
  5. Step 5: Solve for x
    x = 81,910,415.45/8,041.92
  6. Step 6: Final answer
    x = 10,185.43

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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.