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Finding the Fourth Proportional to 11,773.14, 16,247.16 and 6,467.64

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Solution

The fourth proportional to 11,773.14, 16,247.16 and 6,467.64 is: 8,925.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,773.14 : 16,247.16 = 6,467.64 : x
  2. Step 2: Convert to fraction form
    11,773.14/16,247.16 = 6,467.64/x
  3. Step 3: Cross multiply
    11,773.14x = 16,247.16 × 6,467.64
  4. Step 4: Simplify right side
    11,773.14x = 105,080,781.90
  5. Step 5: Solve for x
    x = 105,080,781.90/11,773.14
  6. Step 6: Final answer
    x = 8,925.47

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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.