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Finding the Fourth Proportional to 7,762.03, 10,712.42 and 6,796.09

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Solution

The fourth proportional to 7,762.03, 10,712.42 and 6,796.09 is: 9,379.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.03 : 10,712.42 = 6,796.09 : x
  2. Step 2: Convert to fraction form
    7,762.03/10,712.42 = 6,796.09/x
  3. Step 3: Cross multiply
    7,762.03x = 10,712.42 × 6,796.09
  4. Step 4: Simplify right side
    7,762.03x = 72,802,570.44
  5. Step 5: Solve for x
    x = 72,802,570.44/7,762.03
  6. Step 6: Final answer
    x = 9,379.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.