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Finding the Fourth Proportional to 6,714.56, 9,266.26 and 3,730.25

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Solution

The fourth proportional to 6,714.56, 9,266.26 and 3,730.25 is: 5,147.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.56 : 9,266.26 = 3,730.25 : x
  2. Step 2: Convert to fraction form
    6,714.56/9,266.26 = 3,730.25/x
  3. Step 3: Cross multiply
    6,714.56x = 9,266.26 × 3,730.25
  4. Step 4: Simplify right side
    6,714.56x = 34,565,466.37
  5. Step 5: Solve for x
    x = 34,565,466.37/6,714.56
  6. Step 6: Final answer
    x = 5,147.84

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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.