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Finding the Fourth Proportional to 12,774.82, 19,282.23 and 12,774.82

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Solution

The fourth proportional to 12,774.82, 19,282.23 and 12,774.82 is: 19,282.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774.82 : 19,282.23 = 12,774.82 : x
  2. Step 2: Convert to fraction form
    12,774.82/19,282.23 = 12,774.82/x
  3. Step 3: Cross multiply
    12,774.82x = 19,282.23 × 12,774.82
  4. Step 4: Simplify right side
    12,774.82x = 246,326,993.65
  5. Step 5: Solve for x
    x = 246,326,993.65/12,774.82
  6. Step 6: Final answer
    x = 19,282.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.