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Finding the Fourth Proportional to 6,790.83, 10,175.14 and 6,531.34

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Solution

The fourth proportional to 6,790.83, 10,175.14 and 6,531.34 is: 9,786.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,790.83 : 10,175.14 = 6,531.34 : x
  2. Step 2: Convert to fraction form
    6,790.83/10,175.14 = 6,531.34/x
  3. Step 3: Cross multiply
    6,790.83x = 10,175.14 × 6,531.34
  4. Step 4: Simplify right side
    6,790.83x = 66,457,298.89
  5. Step 5: Solve for x
    x = 66,457,298.89/6,790.83
  6. Step 6: Final answer
    x = 9,786.33

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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.