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Finding the Fourth Proportional to 13,502.94, 18,633.16 and 8,466.94

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Solution

The fourth proportional to 13,502.94, 18,633.16 and 8,466.94 is: 11,683.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,502.94 : 18,633.16 = 8,466.94 : x
  2. Step 2: Convert to fraction form
    13,502.94/18,633.16 = 8,466.94/x
  3. Step 3: Cross multiply
    13,502.94x = 18,633.16 × 8,466.94
  4. Step 4: Simplify right side
    13,502.94x = 157,765,847.73
  5. Step 5: Solve for x
    x = 157,765,847.73/13,502.94
  6. Step 6: Final answer
    x = 11,683.81

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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.