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Finding the Fourth Proportional to 12,794.40, 19,189.92 and 5,008.64

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Solution

The fourth proportional to 12,794.40, 19,189.92 and 5,008.64 is: 7,512.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,794.40 : 19,189.92 = 5,008.64 : x
  2. Step 2: Convert to fraction form
    12,794.40/19,189.92 = 5,008.64/x
  3. Step 3: Cross multiply
    12,794.40x = 19,189.92 × 5,008.64
  4. Step 4: Simplify right side
    12,794.40x = 96,115,400.91
  5. Step 5: Solve for x
    x = 96,115,400.91/12,794.40
  6. Step 6: Final answer
    x = 7,512.30

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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.