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Finding the Fourth Proportional to 7,451.68, 11,203.44 and 6,881.44

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Solution

The fourth proportional to 7,451.68, 11,203.44 and 6,881.44 is: 10,346.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,451.68 : 11,203.44 = 6,881.44 : x
  2. Step 2: Convert to fraction form
    7,451.68/11,203.44 = 6,881.44/x
  3. Step 3: Cross multiply
    7,451.68x = 11,203.44 × 6,881.44
  4. Step 4: Simplify right side
    7,451.68x = 77,095,800.15
  5. Step 5: Solve for x
    x = 77,095,800.15/7,451.68
  6. Step 6: Final answer
    x = 10,346.10

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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.