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Finding the Fourth Proportional to 13,664.16, 18,856.92 and 8,358.84

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Solution

The fourth proportional to 13,664.16, 18,856.92 and 8,358.84 is: 11,535.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,664.16 : 18,856.92 = 8,358.84 : x
  2. Step 2: Convert to fraction form
    13,664.16/18,856.92 = 8,358.84/x
  3. Step 3: Cross multiply
    13,664.16x = 18,856.92 × 8,358.84
  4. Step 4: Simplify right side
    13,664.16x = 157,621,977.17
  5. Step 5: Solve for x
    x = 157,621,977.17/13,664.16
  6. Step 6: Final answer
    x = 11,535.43

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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.