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Finding the Fourth Proportional to 11,873.64, 16,385.82 and 6,568.14

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Solution

The fourth proportional to 11,873.64, 16,385.82 and 6,568.14 is: 9,064.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,873.64 : 16,385.82 = 6,568.14 : x
  2. Step 2: Convert to fraction form
    11,873.64/16,385.82 = 6,568.14/x
  3. Step 3: Cross multiply
    11,873.64x = 16,385.82 × 6,568.14
  4. Step 4: Simplify right side
    11,873.64x = 107,624,359.77
  5. Step 5: Solve for x
    x = 107,624,359.77/11,873.64
  6. Step 6: Final answer
    x = 9,064.14

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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.