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Finding the Fourth Proportional to 13,765.52, 19,000.16 and 8,102.08

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Solution

The fourth proportional to 13,765.52, 19,000.16 and 8,102.08 is: 11,183.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,765.52 : 19,000.16 = 8,102.08 : x
  2. Step 2: Convert to fraction form
    13,765.52/19,000.16 = 8,102.08/x
  3. Step 3: Cross multiply
    13,765.52x = 19,000.16 × 8,102.08
  4. Step 4: Simplify right side
    13,765.52x = 153,940,768.83
  5. Step 5: Solve for x
    x = 153,940,768.83/13,765.52
  6. Step 6: Final answer
    x = 11,183.07

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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.