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Finding the Fourth Proportional to 6,536.70, 9,798.37 and 4,189.93

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Solution

The fourth proportional to 6,536.70, 9,798.37 and 4,189.93 is: 6,280.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.70 : 9,798.37 = 4,189.93 : x
  2. Step 2: Convert to fraction form
    6,536.70/9,798.37 = 4,189.93/x
  3. Step 3: Cross multiply
    6,536.70x = 9,798.37 × 4,189.93
  4. Step 4: Simplify right side
    6,536.70x = 41,054,449.44
  5. Step 5: Solve for x
    x = 41,054,449.44/6,536.70
  6. Step 6: Final answer
    x = 6,280.61

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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.