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Finding the Fourth Proportional to 6,714.46, 9,265.44 and 3,730.24

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Solution

The fourth proportional to 6,714.46, 9,265.44 and 3,730.24 is: 5,147.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.46 : 9,265.44 = 3,730.24 : x
  2. Step 2: Convert to fraction form
    6,714.46/9,265.44 = 3,730.24/x
  3. Step 3: Cross multiply
    6,714.46x = 9,265.44 × 3,730.24
  4. Step 4: Simplify right side
    6,714.46x = 34,562,314.91
  5. Step 5: Solve for x
    x = 34,562,314.91/6,714.46
  6. Step 6: Final answer
    x = 5,147.45

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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.