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Finding the Fourth Proportional to 13,765.64, 19,000.34 and 8,102.21

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Solution

The fourth proportional to 13,765.64, 19,000.34 and 8,102.21 is: 11,183.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,765.64 : 19,000.34 = 8,102.21 : x
  2. Step 2: Convert to fraction form
    13,765.64/19,000.34 = 8,102.21/x
  3. Step 3: Cross multiply
    13,765.64x = 19,000.34 × 8,102.21
  4. Step 4: Simplify right side
    13,765.64x = 153,944,609.24
  5. Step 5: Solve for x
    x = 153,944,609.24/13,765.64
  6. Step 6: Final answer
    x = 11,183.25

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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.