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Finding the Fourth Proportional to 14,183.74, 19,573.62 and 7,896.12

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Solution

The fourth proportional to 14,183.74, 19,573.62 and 7,896.12 is: 10,896.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,183.74 : 19,573.62 = 7,896.12 : x
  2. Step 2: Convert to fraction form
    14,183.74/19,573.62 = 7,896.12/x
  3. Step 3: Cross multiply
    14,183.74x = 19,573.62 × 7,896.12
  4. Step 4: Simplify right side
    14,183.74x = 154,555,549.34
  5. Step 5: Solve for x
    x = 154,555,549.34/14,183.74
  6. Step 6: Final answer
    x = 10,896.67

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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.