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Finding the Fourth Proportional to 12,964.88, 19,447.32 and 3,730.88

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Solution

The fourth proportional to 12,964.88, 19,447.32 and 3,730.88 is: 5,596.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,964.88 : 19,447.32 = 3,730.88 : x
  2. Step 2: Convert to fraction form
    12,964.88/19,447.32 = 3,730.88/x
  3. Step 3: Cross multiply
    12,964.88x = 19,447.32 × 3,730.88
  4. Step 4: Simplify right side
    12,964.88x = 72,555,520.01
  5. Step 5: Solve for x
    x = 72,555,520.01/12,964.88
  6. Step 6: Final answer
    x = 5,596.31

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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.