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Finding the Fourth Proportional to 4,661.13, 6,994.64 and 4,223.27

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Solution

The fourth proportional to 4,661.13, 6,994.64 and 4,223.27 is: 6,337.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.13 : 6,994.64 = 4,223.27 : x
  2. Step 2: Convert to fraction form
    4,661.13/6,994.64 = 4,223.27/x
  3. Step 3: Cross multiply
    4,661.13x = 6,994.64 × 4,223.27
  4. Step 4: Simplify right side
    4,661.13x = 29,540,256.74
  5. Step 5: Solve for x
    x = 29,540,256.74/4,661.13
  6. Step 6: Final answer
    x = 6,337.58

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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.