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Finding the Fourth Proportional to 13,994.64, 19,314.36 and 8,027.64

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Solution

The fourth proportional to 13,994.64, 19,314.36 and 8,027.64 is: 11,079.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,994.64 : 19,314.36 = 8,027.64 : x
  2. Step 2: Convert to fraction form
    13,994.64/19,314.36 = 8,027.64/x
  3. Step 3: Cross multiply
    13,994.64x = 19,314.36 × 8,027.64
  4. Step 4: Simplify right side
    13,994.64x = 155,048,728.91
  5. Step 5: Solve for x
    x = 155,048,728.91/13,994.64
  6. Step 6: Final answer
    x = 11,079.15

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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.