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Finding the Fourth Proportional to 13,950.96, 19,255.05 and 8,648.16

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Solution

The fourth proportional to 13,950.96, 19,255.05 and 8,648.16 is: 11,936.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,950.96 : 19,255.05 = 8,648.16 : x
  2. Step 2: Convert to fraction form
    13,950.96/19,255.05 = 8,648.16/x
  3. Step 3: Cross multiply
    13,950.96x = 19,255.05 × 8,648.16
  4. Step 4: Simplify right side
    13,950.96x = 166,520,753.21
  5. Step 5: Solve for x
    x = 166,520,753.21/13,950.96
  6. Step 6: Final answer
    x = 11,936.15

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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.