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Finding the Fourth Proportional to 8,223.24, 12,334.86 and 3,603

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Solution

The fourth proportional to 8,223.24, 12,334.86 and 3,603 is: 5,404.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.24 : 12,334.86 = 3,603 : x
  2. Step 2: Convert to fraction form
    8,223.24/12,334.86 = 3,603/x
  3. Step 3: Cross multiply
    8,223.24x = 12,334.86 × 3,603
  4. Step 4: Simplify right side
    8,223.24x = 44,442,500.58
  5. Step 5: Solve for x
    x = 44,442,500.58/8,223.24
  6. Step 6: Final answer
    x = 5,404.50

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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.