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Finding the Fourth Proportional to 4,814.36, 7,257.04 and 4,414.51

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Solution

The fourth proportional to 4,814.36, 7,257.04 and 4,414.51 is: 6,654.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,814.36 : 7,257.04 = 4,414.51 : x
  2. Step 2: Convert to fraction form
    4,814.36/7,257.04 = 4,414.51/x
  3. Step 3: Cross multiply
    4,814.36x = 7,257.04 × 4,414.51
  4. Step 4: Simplify right side
    4,814.36x = 32,036,308.72
  5. Step 5: Solve for x
    x = 32,036,308.72/4,814.36
  6. Step 6: Final answer
    x = 6,654.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.