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Finding the Fourth Proportional to 10,355.56, 14,294.84 and 6,163

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Solution

The fourth proportional to 10,355.56, 14,294.84 and 6,163 is: 8,507.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,355.56 : 14,294.84 = 6,163 : x
  2. Step 2: Convert to fraction form
    10,355.56/14,294.84 = 6,163/x
  3. Step 3: Cross multiply
    10,355.56x = 14,294.84 × 6,163
  4. Step 4: Simplify right side
    10,355.56x = 88,099,098.92
  5. Step 5: Solve for x
    x = 88,099,098.92/10,355.56
  6. Step 6: Final answer
    x = 8,507.42

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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.