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Finding the Fourth Proportional to 11,654.86, 16,083.62 and 6,349.68

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Solution

The fourth proportional to 11,654.86, 16,083.62 and 6,349.68 is: 8,762.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,654.86 : 16,083.62 = 6,349.68 : x
  2. Step 2: Convert to fraction form
    11,654.86/16,083.62 = 6,349.68/x
  3. Step 3: Cross multiply
    11,654.86x = 16,083.62 × 6,349.68
  4. Step 4: Simplify right side
    11,654.86x = 102,125,840.24
  5. Step 5: Solve for x
    x = 102,125,840.24/11,654.86
  6. Step 6: Final answer
    x = 8,762.51

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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.