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Finding the Fourth Proportional to 6,065.32, 9,098.18 and 1,682.82

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Solution

The fourth proportional to 6,065.32, 9,098.18 and 1,682.82 is: 2,524.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,065.32 : 9,098.18 = 1,682.82 : x
  2. Step 2: Convert to fraction form
    6,065.32/9,098.18 = 1,682.82/x
  3. Step 3: Cross multiply
    6,065.32x = 9,098.18 × 1,682.82
  4. Step 4: Simplify right side
    6,065.32x = 15,310,599.27
  5. Step 5: Solve for x
    x = 15,310,599.27/6,065.32
  6. Step 6: Final answer
    x = 2,524.29

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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.