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Finding the Fourth Proportional to 9,414.99, 12,992.69 and 5,223.24

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Solution

The fourth proportional to 9,414.99, 12,992.69 and 5,223.24 is: 7,208.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.99 : 12,992.69 = 5,223.24 : x
  2. Step 2: Convert to fraction form
    9,414.99/12,992.69 = 5,223.24/x
  3. Step 3: Cross multiply
    9,414.99x = 12,992.69 × 5,223.24
  4. Step 4: Simplify right side
    9,414.99x = 67,863,938.12
  5. Step 5: Solve for x
    x = 67,863,938.12/9,414.99
  6. Step 6: Final answer
    x = 7,208.07

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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.