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Finding the Fourth Proportional to 6,203.42, 9,305.14 and 1,586.42

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Solution

The fourth proportional to 6,203.42, 9,305.14 and 1,586.42 is: 2,379.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,203.42 : 9,305.14 = 1,586.42 : x
  2. Step 2: Convert to fraction form
    6,203.42/9,305.14 = 1,586.42/x
  3. Step 3: Cross multiply
    6,203.42x = 9,305.14 × 1,586.42
  4. Step 4: Simplify right side
    6,203.42x = 14,761,860.20
  5. Step 5: Solve for x
    x = 14,761,860.20/6,203.42
  6. Step 6: Final answer
    x = 2,379.63

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Double scale
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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.