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Finding the Fourth Proportional to 12,774.69, 19,162 and 4,010.26

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Solution

The fourth proportional to 12,774.69, 19,162 and 4,010.26 is: 6,015.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774.69 : 19,162 = 4,010.26 : x
  2. Step 2: Convert to fraction form
    12,774.69/19,162 = 4,010.26/x
  3. Step 3: Cross multiply
    12,774.69x = 19,162 × 4,010.26
  4. Step 4: Simplify right side
    12,774.69x = 76,844,602.12
  5. Step 5: Solve for x
    x = 76,844,602.12/12,774.69
  6. Step 6: Final answer
    x = 6,015.38

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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.