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Finding the Fourth Proportional to 12,223.70, 18,323.40 and 5,638.40

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Solution

The fourth proportional to 12,223.70, 18,323.40 and 5,638.40 is: 8,452.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,223.70 : 18,323.40 = 5,638.40 : x
  2. Step 2: Convert to fraction form
    12,223.70/18,323.40 = 5,638.40/x
  3. Step 3: Cross multiply
    12,223.70x = 18,323.40 × 5,638.40
  4. Step 4: Simplify right side
    12,223.70x = 103,314,658.56
  5. Step 5: Solve for x
    x = 103,314,658.56/12,223.70
  6. Step 6: Final answer
    x = 8,452.00

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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.