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Finding the Fourth Proportional to 12,954.64, 19,433.52 and 6,375.28

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Solution

The fourth proportional to 12,954.64, 19,433.52 and 6,375.28 is: 9,563.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,954.64 : 19,433.52 = 6,375.28 : x
  2. Step 2: Convert to fraction form
    12,954.64/19,433.52 = 6,375.28/x
  3. Step 3: Cross multiply
    12,954.64x = 19,433.52 × 6,375.28
  4. Step 4: Simplify right side
    12,954.64x = 123,894,131.39
  5. Step 5: Solve for x
    x = 123,894,131.39/12,954.64
  6. Step 6: Final answer
    x = 9,563.69

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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.