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Finding the Fourth Proportional to 4,901.74, 7,347.03 and 1,976.62

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Solution

The fourth proportional to 4,901.74, 7,347.03 and 1,976.62 is: 2,962.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,901.74 : 7,347.03 = 1,976.62 : x
  2. Step 2: Convert to fraction form
    4,901.74/7,347.03 = 1,976.62/x
  3. Step 3: Cross multiply
    4,901.74x = 7,347.03 × 1,976.62
  4. Step 4: Simplify right side
    4,901.74x = 14,522,286.44
  5. Step 5: Solve for x
    x = 14,522,286.44/4,901.74
  6. Step 6: Final answer
    x = 2,962.68

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1.5x scale

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.