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Finding the Fourth Proportional to 4,942.99, 7,415.70 and 1,480.24

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Solution

The fourth proportional to 4,942.99, 7,415.70 and 1,480.24 is: 2,220.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,942.99 : 7,415.70 = 1,480.24 : x
  2. Step 2: Convert to fraction form
    4,942.99/7,415.70 = 1,480.24/x
  3. Step 3: Cross multiply
    4,942.99x = 7,415.70 × 1,480.24
  4. Step 4: Simplify right side
    4,942.99x = 10,977,015.77
  5. Step 5: Solve for x
    x = 10,977,015.77/4,942.99
  6. Step 6: Final answer
    x = 2,220.72

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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.