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Finding the Fourth Proportional to 12,794.64, 17,656.64 and 7,418.12

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Solution

The fourth proportional to 12,794.64, 17,656.64 and 7,418.12 is: 10,237.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,794.64 : 17,656.64 = 7,418.12 : x
  2. Step 2: Convert to fraction form
    12,794.64/17,656.64 = 7,418.12/x
  3. Step 3: Cross multiply
    12,794.64x = 17,656.64 × 7,418.12
  4. Step 4: Simplify right side
    12,794.64x = 130,979,042.97
  5. Step 5: Solve for x
    x = 130,979,042.97/12,794.64
  6. Step 6: Final answer
    x = 10,237.02

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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.