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Finding the Fourth Proportional to 4,814.28, 6,622.74 and 4,214.28

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Solution

The fourth proportional to 4,814.28, 6,622.74 and 4,214.28 is: 5,797.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,814.28 : 6,622.74 = 4,214.28 : x
  2. Step 2: Convert to fraction form
    4,814.28/6,622.74 = 4,214.28/x
  3. Step 3: Cross multiply
    4,814.28x = 6,622.74 × 4,214.28
  4. Step 4: Simplify right side
    4,814.28x = 27,910,080.73
  5. Step 5: Solve for x
    x = 27,910,080.73/4,814.28
  6. Step 6: Final answer
    x = 5,797.35

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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.