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Finding the Fourth Proportional to 4,970.04, 7,456.02 and 1,683

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Solution

The fourth proportional to 4,970.04, 7,456.02 and 1,683 is: 2,524.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.04 : 7,456.02 = 1,683 : x
  2. Step 2: Convert to fraction form
    4,970.04/7,456.02 = 1,683/x
  3. Step 3: Cross multiply
    4,970.04x = 7,456.02 × 1,683
  4. Step 4: Simplify right side
    4,970.04x = 12,548,481.66
  5. Step 5: Solve for x
    x = 12,548,481.66/4,970.04
  6. Step 6: Final answer
    x = 2,524.83

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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.