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Finding the Fourth Proportional to 14,875.50, 20,528.46 and 8,161.46

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Solution

The fourth proportional to 14,875.50, 20,528.46 and 8,161.46 is: 11,262.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,875.50 : 20,528.46 = 8,161.46 : x
  2. Step 2: Convert to fraction form
    14,875.50/20,528.46 = 8,161.46/x
  3. Step 3: Cross multiply
    14,875.50x = 20,528.46 × 8,161.46
  4. Step 4: Simplify right side
    14,875.50x = 167,542,205.15
  5. Step 5: Solve for x
    x = 167,542,205.15/14,875.50
  6. Step 6: Final answer
    x = 11,262.96

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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.