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Finding the Fourth Proportional to 8,178, 11,287.11 and 4,820.61

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Solution

The fourth proportional to 8,178, 11,287.11 and 4,820.61 is: 6,653.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178 : 11,287.11 = 4,820.61 : x
  2. Step 2: Convert to fraction form
    8,178/11,287.11 = 4,820.61/x
  3. Step 3: Cross multiply
    8,178x = 11,287.11 × 4,820.61
  4. Step 4: Simplify right side
    8,178x = 54,410,755.34
  5. Step 5: Solve for x
    x = 54,410,755.34/8,178
  6. Step 6: Final answer
    x = 6,653.31

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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.