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Finding the Fourth Proportional to 18,562.80, 27,847.32 and 9,203.28

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Solution

The fourth proportional to 18,562.80, 27,847.32 and 9,203.28 is: 13,806.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,562.80 : 27,847.32 = 9,203.28 : x
  2. Step 2: Convert to fraction form
    18,562.80/27,847.32 = 9,203.28/x
  3. Step 3: Cross multiply
    18,562.80x = 27,847.32 × 9,203.28
  4. Step 4: Simplify right side
    18,562.80x = 256,286,683.21
  5. Step 5: Solve for x
    x = 256,286,683.21/18,562.80
  6. Step 6: Final answer
    x = 13,806.47

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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.