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Finding the Fourth Proportional to 12,788.64, 19,174.86 and 5,398.20

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Solution

The fourth proportional to 12,788.64, 19,174.86 and 5,398.20 is: 8,093.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,788.64 : 19,174.86 = 5,398.20 : x
  2. Step 2: Convert to fraction form
    12,788.64/19,174.86 = 5,398.20/x
  3. Step 3: Cross multiply
    12,788.64x = 19,174.86 × 5,398.20
  4. Step 4: Simplify right side
    12,788.64x = 103,509,729.25
  5. Step 5: Solve for x
    x = 103,509,729.25/12,788.64
  6. Step 6: Final answer
    x = 8,093.88

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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.