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Finding the Fourth Proportional to 12,674.88, 19,015 and 4,777.23

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Solution

The fourth proportional to 12,674.88, 19,015 and 4,777.23 is: 7,166.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,674.88 : 19,015 = 4,777.23 : x
  2. Step 2: Convert to fraction form
    12,674.88/19,015 = 4,777.23/x
  3. Step 3: Cross multiply
    12,674.88x = 19,015 × 4,777.23
  4. Step 4: Simplify right side
    12,674.88x = 90,839,028.45
  5. Step 5: Solve for x
    x = 90,839,028.45/12,674.88
  6. Step 6: Final answer
    x = 7,166.85

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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.