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Finding the Fourth Proportional to 12,269.74, 16,932.32 and 6,964.64

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Solution

The fourth proportional to 12,269.74, 16,932.32 and 6,964.64 is: 9,611.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,269.74 : 16,932.32 = 6,964.64 : x
  2. Step 2: Convert to fraction form
    12,269.74/16,932.32 = 6,964.64/x
  3. Step 3: Cross multiply
    12,269.74x = 16,932.32 × 6,964.64
  4. Step 4: Simplify right side
    12,269.74x = 117,927,546.79
  5. Step 5: Solve for x
    x = 117,927,546.79/12,269.74
  6. Step 6: Final answer
    x = 9,611.25

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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.