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Finding the Fourth Proportional to 12,014.88, 16,596.54 and 9,665.88

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Solution

The fourth proportional to 12,014.88, 16,596.54 and 9,665.88 is: 13,351.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,014.88 : 16,596.54 = 9,665.88 : x
  2. Step 2: Convert to fraction form
    12,014.88/16,596.54 = 9,665.88/x
  3. Step 3: Cross multiply
    12,014.88x = 16,596.54 × 9,665.88
  4. Step 4: Simplify right side
    12,014.88x = 160,420,164.06
  5. Step 5: Solve for x
    x = 160,420,164.06/12,014.88
  6. Step 6: Final answer
    x = 13,351.79

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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.