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Finding the Fourth Proportional to 7,081.63, 10,664.60 and 6,168.22

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Solution

The fourth proportional to 7,081.63, 10,664.60 and 6,168.22 is: 9,289.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,081.63 : 10,664.60 = 6,168.22 : x
  2. Step 2: Convert to fraction form
    7,081.63/10,664.60 = 6,168.22/x
  3. Step 3: Cross multiply
    7,081.63x = 10,664.60 × 6,168.22
  4. Step 4: Simplify right side
    7,081.63x = 65,781,627.76
  5. Step 5: Solve for x
    x = 65,781,627.76/7,081.63
  6. Step 6: Final answer
    x = 9,289.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.