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Finding the Fourth Proportional to 8,374.47, 11,556.32 and 4,837.61

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Solution

The fourth proportional to 8,374.47, 11,556.32 and 4,837.61 is: 6,675.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,374.47 : 11,556.32 = 4,837.61 : x
  2. Step 2: Convert to fraction form
    8,374.47/11,556.32 = 4,837.61/x
  3. Step 3: Cross multiply
    8,374.47x = 11,556.32 × 4,837.61
  4. Step 4: Simplify right side
    8,374.47x = 55,904,887.23
  5. Step 5: Solve for x
    x = 55,904,887.23/8,374.47
  6. Step 6: Final answer
    x = 6,675.63

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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.