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Finding the Fourth Proportional to 6,710.82, 9,260.91 and 3,916.32

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Solution

The fourth proportional to 6,710.82, 9,260.91 and 3,916.32 is: 5,404.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710.82 : 9,260.91 = 3,916.32 : x
  2. Step 2: Convert to fraction form
    6,710.82/9,260.91 = 3,916.32/x
  3. Step 3: Cross multiply
    6,710.82x = 9,260.91 × 3,916.32
  4. Step 4: Simplify right side
    6,710.82x = 36,268,687.05
  5. Step 5: Solve for x
    x = 36,268,687.05/6,710.82
  6. Step 6: Final answer
    x = 5,404.51

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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.