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Finding the Fourth Proportional to 7,462.90, 11,193.99 and 2,782.90

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Solution

The fourth proportional to 7,462.90, 11,193.99 and 2,782.90 is: 4,174.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,462.90 : 11,193.99 = 2,782.90 : x
  2. Step 2: Convert to fraction form
    7,462.90/11,193.99 = 2,782.90/x
  3. Step 3: Cross multiply
    7,462.90x = 11,193.99 × 2,782.90
  4. Step 4: Simplify right side
    7,462.90x = 31,151,754.77
  5. Step 5: Solve for x
    x = 31,151,754.77/7,462.90
  6. Step 6: Final answer
    x = 4,174.22

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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.