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Finding the Fourth Proportional to 8,152.68, 12,220.50 and 5,024.46

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Solution

The fourth proportional to 8,152.68, 12,220.50 and 5,024.46 is: 7,531.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,152.68 : 12,220.50 = 5,024.46 : x
  2. Step 2: Convert to fraction form
    8,152.68/12,220.50 = 5,024.46/x
  3. Step 3: Cross multiply
    8,152.68x = 12,220.50 × 5,024.46
  4. Step 4: Simplify right side
    8,152.68x = 61,401,413.43
  5. Step 5: Solve for x
    x = 61,401,413.43/8,152.68
  6. Step 6: Final answer
    x = 7,531.44

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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.