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Finding the Fourth Proportional to 14,735.75, 20,335.34 and 8,111.75

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Solution

The fourth proportional to 14,735.75, 20,335.34 and 8,111.75 is: 11,194.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,735.75 : 20,335.34 = 8,111.75 : x
  2. Step 2: Convert to fraction form
    14,735.75/20,335.34 = 8,111.75/x
  3. Step 3: Cross multiply
    14,735.75x = 20,335.34 × 8,111.75
  4. Step 4: Simplify right side
    14,735.75x = 164,955,153.69
  5. Step 5: Solve for x
    x = 164,955,153.69/14,735.75
  6. Step 6: Final answer
    x = 11,194.22

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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.