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Finding the Fourth Proportional to 4,698, 7,014.06 and 4,205.52

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Solution

The fourth proportional to 4,698, 7,014.06 and 4,205.52 is: 6,278.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698 : 7,014.06 = 4,205.52 : x
  2. Step 2: Convert to fraction form
    4,698/7,014.06 = 4,205.52/x
  3. Step 3: Cross multiply
    4,698x = 7,014.06 × 4,205.52
  4. Step 4: Simplify right side
    4,698x = 29,497,769.61
  5. Step 5: Solve for x
    x = 29,497,769.61/4,698
  6. Step 6: Final answer
    x = 6,278.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.