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Finding the Fourth Proportional to 12,674.73, 19,015.74 and 6,434.49

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Solution

The fourth proportional to 12,674.73, 19,015.74 and 6,434.49 is: 9,653.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,674.73 : 19,015.74 = 6,434.49 : x
  2. Step 2: Convert to fraction form
    12,674.73/19,015.74 = 6,434.49/x
  3. Step 3: Cross multiply
    12,674.73x = 19,015.74 × 6,434.49
  4. Step 4: Simplify right side
    12,674.73x = 122,356,588.87
  5. Step 5: Solve for x
    x = 122,356,588.87/12,674.73
  6. Step 6: Final answer
    x = 9,653.59

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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.