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Finding the Fourth Proportional to 8,341.44, 12,526.46 and 7,406.49

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Solution

The fourth proportional to 8,341.44, 12,526.46 and 7,406.49 is: 11,122.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,341.44 : 12,526.46 = 7,406.49 : x
  2. Step 2: Convert to fraction form
    8,341.44/12,526.46 = 7,406.49/x
  3. Step 3: Cross multiply
    8,341.44x = 12,526.46 × 7,406.49
  4. Step 4: Simplify right side
    8,341.44x = 92,777,100.73
  5. Step 5: Solve for x
    x = 92,777,100.73/8,341.44
  6. Step 6: Final answer
    x = 11,122.43

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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.