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Finding the Fourth Proportional to 4,674.98, 7,012.22 and 1,212.14

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Solution

The fourth proportional to 4,674.98, 7,012.22 and 1,212.14 is: 1,818.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674.98 : 7,012.22 = 1,212.14 : x
  2. Step 2: Convert to fraction form
    4,674.98/7,012.22 = 1,212.14/x
  3. Step 3: Cross multiply
    4,674.98x = 7,012.22 × 1,212.14
  4. Step 4: Simplify right side
    4,674.98x = 8,499,792.35
  5. Step 5: Solve for x
    x = 8,499,792.35/4,674.98
  6. Step 6: Final answer
    x = 1,818.15

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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.