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Finding the Fourth Proportional to 8,415.40, 12,615.90 and 5,942.44

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Solution

The fourth proportional to 8,415.40, 12,615.90 and 5,942.44 is: 8,908.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,415.40 : 12,615.90 = 5,942.44 : x
  2. Step 2: Convert to fraction form
    8,415.40/12,615.90 = 5,942.44/x
  3. Step 3: Cross multiply
    8,415.40x = 12,615.90 × 5,942.44
  4. Step 4: Simplify right side
    8,415.40x = 74,969,228.80
  5. Step 5: Solve for x
    x = 74,969,228.80/8,415.40
  6. Step 6: Final answer
    x = 8,908.58

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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.