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Finding the Fourth Proportional to 8,187.75, 11,300.92 and 5,203.00

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Solution

The fourth proportional to 8,187.75, 11,300.92 and 5,203.00 is: 7,181.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,187.75 : 11,300.92 = 5,203.00 : x
  2. Step 2: Convert to fraction form
    8,187.75/11,300.92 = 5,203.00/x
  3. Step 3: Cross multiply
    8,187.75x = 11,300.92 × 5,203.00
  4. Step 4: Simplify right side
    8,187.75x = 58,798,687.88
  5. Step 5: Solve for x
    x = 58,798,687.88/8,187.75
  6. Step 6: Final answer
    x = 7,181.30

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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.