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Finding the Fourth Proportional to 12,203.50, 18,305.28 and 2,969.50

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Solution

The fourth proportional to 12,203.50, 18,305.28 and 2,969.50 is: 4,454.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,203.50 : 18,305.28 = 2,969.50 : x
  2. Step 2: Convert to fraction form
    12,203.50/18,305.28 = 2,969.50/x
  3. Step 3: Cross multiply
    12,203.50x = 18,305.28 × 2,969.50
  4. Step 4: Simplify right side
    12,203.50x = 54,357,528.96
  5. Step 5: Solve for x
    x = 54,357,528.96/12,203.50
  6. Step 6: Final answer
    x = 4,454.26

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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.