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Finding the Fourth Proportional to 11,662.81, 16,094.62 and 6,357.61

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Solution

The fourth proportional to 11,662.81, 16,094.62 and 6,357.61 is: 8,773.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,662.81 : 16,094.62 = 6,357.61 : x
  2. Step 2: Convert to fraction form
    11,662.81/16,094.62 = 6,357.61/x
  3. Step 3: Cross multiply
    11,662.81x = 16,094.62 × 6,357.61
  4. Step 4: Simplify right side
    11,662.81x = 102,323,317.06
  5. Step 5: Solve for x
    x = 102,323,317.06/11,662.81
  6. Step 6: Final answer
    x = 8,773.47

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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.