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Finding the Fourth Proportional to 14,362.75, 19,814.12 and 8,391.74

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Solution

The fourth proportional to 14,362.75, 19,814.12 and 8,391.74 is: 11,576.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,362.75 : 19,814.12 = 8,391.74 : x
  2. Step 2: Convert to fraction form
    14,362.75/19,814.12 = 8,391.74/x
  3. Step 3: Cross multiply
    14,362.75x = 19,814.12 × 8,391.74
  4. Step 4: Simplify right side
    14,362.75x = 166,274,833.81
  5. Step 5: Solve for x
    x = 166,274,833.81/14,362.75
  6. Step 6: Final answer
    x = 11,576.81

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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.