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Finding the Fourth Proportional to 12,672.90, 17,464.41 and 11,014.02

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Solution

The fourth proportional to 12,672.90, 17,464.41 and 11,014.02 is: 15,178.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,672.90 : 17,464.41 = 11,014.02 : x
  2. Step 2: Convert to fraction form
    12,672.90/17,464.41 = 11,014.02/x
  3. Step 3: Cross multiply
    12,672.90x = 17,464.41 × 11,014.02
  4. Step 4: Simplify right side
    12,672.90x = 192,353,361.03
  5. Step 5: Solve for x
    x = 192,353,361.03/12,672.90
  6. Step 6: Final answer
    x = 15,178.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.