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Finding the Fourth Proportional to 18,227.50, 25,153.96 and 9,844

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Solution

The fourth proportional to 18,227.50, 25,153.96 and 9,844 is: 13,584.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,227.50 : 25,153.96 = 9,844 : x
  2. Step 2: Convert to fraction form
    18,227.50/25,153.96 = 9,844/x
  3. Step 3: Cross multiply
    18,227.50x = 25,153.96 × 9,844
  4. Step 4: Simplify right side
    18,227.50x = 247,615,533.02
  5. Step 5: Solve for x
    x = 247,615,533.02/18,227.50
  6. Step 6: Final answer
    x = 13,584.72

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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.