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Finding the Fourth Proportional to 12,814.99, 17,658.44 and 9,452.48

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Solution

The fourth proportional to 12,814.99, 17,658.44 and 9,452.48 is: 13,025.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814.99 : 17,658.44 = 9,452.48 : x
  2. Step 2: Convert to fraction form
    12,814.99/17,658.44 = 9,452.48/x
  3. Step 3: Cross multiply
    12,814.99x = 17,658.44 × 9,452.48
  4. Step 4: Simplify right side
    12,814.99x = 166,915,950.82
  5. Step 5: Solve for x
    x = 166,915,950.82/12,814.99
  6. Step 6: Final answer
    x = 13,025.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.