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Finding the Fourth Proportional to 14,095, 21,141.69 and 4,234.06

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Solution

The fourth proportional to 14,095, 21,141.69 and 4,234.06 is: 6,350.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,095 : 21,141.69 = 4,234.06 : x
  2. Step 2: Convert to fraction form
    14,095/21,141.69 = 4,234.06/x
  3. Step 3: Cross multiply
    14,095x = 21,141.69 × 4,234.06
  4. Step 4: Simplify right side
    14,095x = 89,515,183.96
  5. Step 5: Solve for x
    x = 89,515,183.96/14,095
  6. Step 6: Final answer
    x = 6,350.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.