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Finding the Fourth Proportional to 6,739.72, 10,098.54 and 6,483.72

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Solution

The fourth proportional to 6,739.72, 10,098.54 and 6,483.72 is: 9,714.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,739.72 : 10,098.54 = 6,483.72 : x
  2. Step 2: Convert to fraction form
    6,739.72/10,098.54 = 6,483.72/x
  3. Step 3: Cross multiply
    6,739.72x = 10,098.54 × 6,483.72
  4. Step 4: Simplify right side
    6,739.72x = 65,476,105.77
  5. Step 5: Solve for x
    x = 65,476,105.77/6,739.72
  6. Step 6: Final answer
    x = 9,714.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.