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Finding the Fourth Proportional to 12,816, 17,684.16 and 7,226.88

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Solution

The fourth proportional to 12,816, 17,684.16 and 7,226.88 is: 9,972.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,816 : 17,684.16 = 7,226.88 : x
  2. Step 2: Convert to fraction form
    12,816/17,684.16 = 7,226.88/x
  3. Step 3: Cross multiply
    12,816x = 17,684.16 × 7,226.88
  4. Step 4: Simplify right side
    12,816x = 127,801,302.22
  5. Step 5: Solve for x
    x = 127,801,302.22/12,816
  6. Step 6: Final answer
    x = 9,972.01

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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.