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Finding the Fourth Proportional to 4,716.36, 6,494.04 and 4,123.44

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Solution

The fourth proportional to 4,716.36, 6,494.04 and 4,123.44 is: 5,677.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,716.36 : 6,494.04 = 4,123.44 : x
  2. Step 2: Convert to fraction form
    4,716.36/6,494.04 = 4,123.44/x
  3. Step 3: Cross multiply
    4,716.36x = 6,494.04 × 4,123.44
  4. Step 4: Simplify right side
    4,716.36x = 26,777,784.30
  5. Step 5: Solve for x
    x = 26,777,784.30/4,716.36
  6. Step 6: Final answer
    x = 5,677.64

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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.