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Finding the Fourth Proportional to 8,153.74, 12,223.41 and 3,534.22

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Solution

The fourth proportional to 8,153.74, 12,223.41 and 3,534.22 is: 5,298.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,153.74 : 12,223.41 = 3,534.22 : x
  2. Step 2: Convert to fraction form
    8,153.74/12,223.41 = 3,534.22/x
  3. Step 3: Cross multiply
    8,153.74x = 12,223.41 × 3,534.22
  4. Step 4: Simplify right side
    8,153.74x = 43,200,220.09
  5. Step 5: Solve for x
    x = 43,200,220.09/8,153.74
  6. Step 6: Final answer
    x = 5,298.21

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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.