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Finding the Fourth Proportional to 6,287.36, 9,429.82 and 5,975.15

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Solution

The fourth proportional to 6,287.36, 9,429.82 and 5,975.15 is: 8,961.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,287.36 : 9,429.82 = 5,975.15 : x
  2. Step 2: Convert to fraction form
    6,287.36/9,429.82 = 5,975.15/x
  3. Step 3: Cross multiply
    6,287.36x = 9,429.82 × 5,975.15
  4. Step 4: Simplify right side
    6,287.36x = 56,344,588.97
  5. Step 5: Solve for x
    x = 56,344,588.97/6,287.36
  6. Step 6: Final answer
    x = 8,961.57

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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.