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Finding the Fourth Proportional to 8,424.72, 11,630.52 and 5,914.44

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Solution

The fourth proportional to 8,424.72, 11,630.52 and 5,914.44 is: 8,165.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,424.72 : 11,630.52 = 5,914.44 : x
  2. Step 2: Convert to fraction form
    8,424.72/11,630.52 = 5,914.44/x
  3. Step 3: Cross multiply
    8,424.72x = 11,630.52 × 5,914.44
  4. Step 4: Simplify right side
    8,424.72x = 68,788,012.71
  5. Step 5: Solve for x
    x = 68,788,012.71/8,424.72
  6. Step 6: Final answer
    x = 8,165.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.