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Finding the Fourth Proportional to 13,657.20, 20,471.40 and 7,801.20

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Solution

The fourth proportional to 13,657.20, 20,471.40 and 7,801.20 is: 11,693.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,657.20 : 20,471.40 = 7,801.20 : x
  2. Step 2: Convert to fraction form
    13,657.20/20,471.40 = 7,801.20/x
  3. Step 3: Cross multiply
    13,657.20x = 20,471.40 × 7,801.20
  4. Step 4: Simplify right side
    13,657.20x = 159,701,485.68
  5. Step 5: Solve for x
    x = 159,701,485.68/13,657.20
  6. Step 6: Final answer
    x = 11,693.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.