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Finding the Fourth Proportional to 8,063, 11,123.16 and 5,706.44

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Solution

The fourth proportional to 8,063, 11,123.16 and 5,706.44 is: 7,872.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,063 : 11,123.16 = 5,706.44 : x
  2. Step 2: Convert to fraction form
    8,063/11,123.16 = 5,706.44/x
  3. Step 3: Cross multiply
    8,063x = 11,123.16 × 5,706.44
  4. Step 4: Simplify right side
    8,063x = 63,473,645.15
  5. Step 5: Solve for x
    x = 63,473,645.15/8,063
  6. Step 6: Final answer
    x = 7,872.21

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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.