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Finding the Fourth Proportional to 13,027.32, 17,978.03 and 7,994.32

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Solution

The fourth proportional to 13,027.32, 17,978.03 and 7,994.32 is: 11,032.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,027.32 : 17,978.03 = 7,994.32 : x
  2. Step 2: Convert to fraction form
    13,027.32/17,978.03 = 7,994.32/x
  3. Step 3: Cross multiply
    13,027.32x = 17,978.03 × 7,994.32
  4. Step 4: Simplify right side
    13,027.32x = 143,722,079.84
  5. Step 5: Solve for x
    x = 143,722,079.84/13,027.32
  6. Step 6: Final answer
    x = 11,032.36

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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.