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Finding the Fourth Proportional to 6,323.41, 8,726.49 and 3,490.96

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Solution

The fourth proportional to 6,323.41, 8,726.49 and 3,490.96 is: 4,817.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.41 : 8,726.49 = 3,490.96 : x
  2. Step 2: Convert to fraction form
    6,323.41/8,726.49 = 3,490.96/x
  3. Step 3: Cross multiply
    6,323.41x = 8,726.49 × 3,490.96
  4. Step 4: Simplify right side
    6,323.41x = 30,463,827.53
  5. Step 5: Solve for x
    x = 30,463,827.53/6,323.41
  6. Step 6: Final answer
    x = 4,817.63

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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.