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Finding the Fourth Proportional to 4,901.94, 7,352.91 and 1,441.62

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Solution

The fourth proportional to 4,901.94, 7,352.91 and 1,441.62 is: 2,162.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,901.94 : 7,352.91 = 1,441.62 : x
  2. Step 2: Convert to fraction form
    4,901.94/7,352.91 = 1,441.62/x
  3. Step 3: Cross multiply
    4,901.94x = 7,352.91 × 1,441.62
  4. Step 4: Simplify right side
    4,901.94x = 10,600,102.11
  5. Step 5: Solve for x
    x = 10,600,102.11/4,901.94
  6. Step 6: Final answer
    x = 2,162.43

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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.