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Finding the Fourth Proportional to 6,785, 10,176.11 and 4,285.43

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Solution

The fourth proportional to 6,785, 10,176.11 and 4,285.43 is: 6,427.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,785 : 10,176.11 = 4,285.43 : x
  2. Step 2: Convert to fraction form
    6,785/10,176.11 = 4,285.43/x
  3. Step 3: Cross multiply
    6,785x = 10,176.11 × 4,285.43
  4. Step 4: Simplify right side
    6,785x = 43,609,007.08
  5. Step 5: Solve for x
    x = 43,609,007.08/6,785
  6. Step 6: Final answer
    x = 6,427.27

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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.