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Finding the Fourth Proportional to 6,698.46, 9,243.54 and 3,714.27

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Solution

The fourth proportional to 6,698.46, 9,243.54 and 3,714.27 is: 5,125.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698.46 : 9,243.54 = 3,714.27 : x
  2. Step 2: Convert to fraction form
    6,698.46/9,243.54 = 3,714.27/x
  3. Step 3: Cross multiply
    6,698.46x = 9,243.54 × 3,714.27
  4. Step 4: Simplify right side
    6,698.46x = 34,333,003.32
  5. Step 5: Solve for x
    x = 34,333,003.32/6,698.46
  6. Step 6: Final answer
    x = 5,125.51

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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.