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Finding the Fourth Proportional to 6,813.60, 9,442.23 and 6,682.38

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Solution

The fourth proportional to 6,813.60, 9,442.23 and 6,682.38 is: 9,260.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813.60 : 9,442.23 = 6,682.38 : x
  2. Step 2: Convert to fraction form
    6,813.60/9,442.23 = 6,682.38/x
  3. Step 3: Cross multiply
    6,813.60x = 9,442.23 × 6,682.38
  4. Step 4: Simplify right side
    6,813.60x = 63,096,568.91
  5. Step 5: Solve for x
    x = 63,096,568.91/6,813.60
  6. Step 6: Final answer
    x = 9,260.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.