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Finding the Fourth Proportional to 8,984.49, 13,406.46 and 8,050.53

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Solution

The fourth proportional to 8,984.49, 13,406.46 and 8,050.53 is: 12,012.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,984.49 : 13,406.46 = 8,050.53 : x
  2. Step 2: Convert to fraction form
    8,984.49/13,406.46 = 8,050.53/x
  3. Step 3: Cross multiply
    8,984.49x = 13,406.46 × 8,050.53
  4. Step 4: Simplify right side
    8,984.49x = 107,929,108.42
  5. Step 5: Solve for x
    x = 107,929,108.42/8,984.49
  6. Step 6: Final answer
    x = 12,012.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.