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Finding the Fourth Proportional to 9,491.49, 14,234.19 and 4,493.19

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Solution

The fourth proportional to 9,491.49, 14,234.19 and 4,493.19 is: 6,738.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.49 : 14,234.19 = 4,493.19 : x
  2. Step 2: Convert to fraction form
    9,491.49/14,234.19 = 4,493.19/x
  3. Step 3: Cross multiply
    9,491.49x = 14,234.19 × 4,493.19
  4. Step 4: Simplify right side
    9,491.49x = 63,956,920.17
  5. Step 5: Solve for x
    x = 63,956,920.17/9,491.49
  6. Step 6: Final answer
    x = 6,738.34

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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.