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Finding the Fourth Proportional to 7,166.93, 10,738.62 and 6,893.55

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Solution

The fourth proportional to 7,166.93, 10,738.62 and 6,893.55 is: 10,329.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.93 : 10,738.62 = 6,893.55 : x
  2. Step 2: Convert to fraction form
    7,166.93/10,738.62 = 6,893.55/x
  3. Step 3: Cross multiply
    7,166.93x = 10,738.62 × 6,893.55
  4. Step 4: Simplify right side
    7,166.93x = 74,027,213.90
  5. Step 5: Solve for x
    x = 74,027,213.90/7,166.93
  6. Step 6: Final answer
    x = 10,329.01

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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.