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Finding the Fourth Proportional to 7,608.96, 10,460.10 and 6,542.80

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Solution

The fourth proportional to 7,608.96, 10,460.10 and 6,542.80 is: 8,994.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,608.96 : 10,460.10 = 6,542.80 : x
  2. Step 2: Convert to fraction form
    7,608.96/10,460.10 = 6,542.80/x
  3. Step 3: Cross multiply
    7,608.96x = 10,460.10 × 6,542.80
  4. Step 4: Simplify right side
    7,608.96x = 68,438,342.28
  5. Step 5: Solve for x
    x = 68,438,342.28/7,608.96
  6. Step 6: Final answer
    x = 8,994.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.