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Finding the Fourth Proportional to 8,254.20, 11,577.75 and 8,254.20

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Solution

The fourth proportional to 8,254.20, 11,577.75 and 8,254.20 is: 11,577.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,254.20 : 11,577.75 = 8,254.20 : x
  2. Step 2: Convert to fraction form
    8,254.20/11,577.75 = 8,254.20/x
  3. Step 3: Cross multiply
    8,254.20x = 11,577.75 × 8,254.20
  4. Step 4: Simplify right side
    8,254.20x = 95,565,064.05
  5. Step 5: Solve for x
    x = 95,565,064.05/8,254.20
  6. Step 6: Final answer
    x = 11,577.75

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.