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Finding the Fourth Proportional to 11,714.64, 16,166.22 and 6,409.46

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Solution

The fourth proportional to 11,714.64, 16,166.22 and 6,409.46 is: 8,845.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714.64 : 16,166.22 = 6,409.46 : x
  2. Step 2: Convert to fraction form
    11,714.64/16,166.22 = 6,409.46/x
  3. Step 3: Cross multiply
    11,714.64x = 16,166.22 × 6,409.46
  4. Step 4: Simplify right side
    11,714.64x = 103,616,740.44
  5. Step 5: Solve for x
    x = 103,616,740.44/11,714.64
  6. Step 6: Final answer
    x = 8,845.06

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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.