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Finding the Fourth Proportional to 4,676.66, 7,015 and 1,214.18

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Solution

The fourth proportional to 4,676.66, 7,015 and 1,214.18 is: 1,821.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.66 : 7,015 = 1,214.18 : x
  2. Step 2: Convert to fraction form
    4,676.66/7,015 = 1,214.18/x
  3. Step 3: Cross multiply
    4,676.66x = 7,015 × 1,214.18
  4. Step 4: Simplify right side
    4,676.66x = 8,517,472.70
  5. Step 5: Solve for x
    x = 8,517,472.70/4,676.66
  6. Step 6: Final answer
    x = 1,821.27

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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.