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Finding the Fourth Proportional to 8,311.94, 11,468.78 and 4,726.12

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Solution

The fourth proportional to 8,311.94, 11,468.78 and 4,726.12 is: 6,521.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.94 : 11,468.78 = 4,726.12 : x
  2. Step 2: Convert to fraction form
    8,311.94/11,468.78 = 4,726.12/x
  3. Step 3: Cross multiply
    8,311.94x = 11,468.78 × 4,726.12
  4. Step 4: Simplify right side
    8,311.94x = 54,202,830.53
  5. Step 5: Solve for x
    x = 54,202,830.53/8,311.94
  6. Step 6: Final answer
    x = 6,521.08

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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.