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Finding the Fourth Proportional to 5,845.49, 8,768.22 and 1,462.94

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Solution

The fourth proportional to 5,845.49, 8,768.22 and 1,462.94 is: 2,194.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,845.49 : 8,768.22 = 1,462.94 : x
  2. Step 2: Convert to fraction form
    5,845.49/8,768.22 = 1,462.94/x
  3. Step 3: Cross multiply
    5,845.49x = 8,768.22 × 1,462.94
  4. Step 4: Simplify right side
    5,845.49x = 12,827,379.77
  5. Step 5: Solve for x
    x = 12,827,379.77/5,845.49
  6. Step 6: Final answer
    x = 2,194.41

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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.