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Finding the Fourth Proportional to 8,365.67, 11,556.64 and 6,684.82

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Solution

The fourth proportional to 8,365.67, 11,556.64 and 6,684.82 is: 9,234.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,365.67 : 11,556.64 = 6,684.82 : x
  2. Step 2: Convert to fraction form
    8,365.67/11,556.64 = 6,684.82/x
  3. Step 3: Cross multiply
    8,365.67x = 11,556.64 × 6,684.82
  4. Step 4: Simplify right side
    8,365.67x = 77,254,058.20
  5. Step 5: Solve for x
    x = 77,254,058.20/8,365.67
  6. Step 6: Final answer
    x = 9,234.65

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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.