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Finding the Fourth Proportional to 11,874.16, 16,385.90 and 6,568.88

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Solution

The fourth proportional to 11,874.16, 16,385.90 and 6,568.88 is: 9,064.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,874.16 : 16,385.90 = 6,568.88 : x
  2. Step 2: Convert to fraction form
    11,874.16/16,385.90 = 6,568.88/x
  3. Step 3: Cross multiply
    11,874.16x = 16,385.90 × 6,568.88
  4. Step 4: Simplify right side
    11,874.16x = 107,637,010.79
  5. Step 5: Solve for x
    x = 107,637,010.79/11,874.16
  6. Step 6: Final answer
    x = 9,064.81

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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.