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Finding the Fourth Proportional to 6,473.26, 8,933.94 and 4,237.06

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Solution

The fourth proportional to 6,473.26, 8,933.94 and 4,237.06 is: 5,847.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.26 : 8,933.94 = 4,237.06 : x
  2. Step 2: Convert to fraction form
    6,473.26/8,933.94 = 4,237.06/x
  3. Step 3: Cross multiply
    6,473.26x = 8,933.94 × 4,237.06
  4. Step 4: Simplify right side
    6,473.26x = 37,853,639.82
  5. Step 5: Solve for x
    x = 37,853,639.82/6,473.26
  6. Step 6: Final answer
    x = 5,847.69

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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.