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Finding the Fourth Proportional to 6,257.54, 8,674.88 and 5,924.63

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Solution

The fourth proportional to 6,257.54, 8,674.88 and 5,924.63 is: 8,213.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,257.54 : 8,674.88 = 5,924.63 : x
  2. Step 2: Convert to fraction form
    6,257.54/8,674.88 = 5,924.63/x
  3. Step 3: Cross multiply
    6,257.54x = 8,674.88 × 5,924.63
  4. Step 4: Simplify right side
    6,257.54x = 51,395,454.29
  5. Step 5: Solve for x
    x = 51,395,454.29/6,257.54
  6. Step 6: Final answer
    x = 8,213.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.