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Finding the Fourth Proportional to 12,774.54, 17,628.54 and 7,396.23

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Solution

The fourth proportional to 12,774.54, 17,628.54 and 7,396.23 is: 10,206.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774.54 : 17,628.54 = 7,396.23 : x
  2. Step 2: Convert to fraction form
    12,774.54/17,628.54 = 7,396.23/x
  3. Step 3: Cross multiply
    12,774.54x = 17,628.54 × 7,396.23
  4. Step 4: Simplify right side
    12,774.54x = 130,384,736.40
  5. Step 5: Solve for x
    x = 130,384,736.40/12,774.54
  6. Step 6: Final answer
    x = 10,206.61

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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.