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Finding the Fourth Proportional to 12,673.14, 19,015.07 and 6,822.91

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Solution

The fourth proportional to 12,673.14, 19,015.07 and 6,822.91 is: 10,237.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,673.14 : 19,015.07 = 6,822.91 : x
  2. Step 2: Convert to fraction form
    12,673.14/19,015.07 = 6,822.91/x
  3. Step 3: Cross multiply
    12,673.14x = 19,015.07 × 6,822.91
  4. Step 4: Simplify right side
    12,673.14x = 129,738,111.25
  5. Step 5: Solve for x
    x = 129,738,111.25/12,673.14
  6. Step 6: Final answer
    x = 10,237.25

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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.