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Finding the Fourth Proportional to 6,065.84, 9,097.08 and 1,682.96

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Solution

The fourth proportional to 6,065.84, 9,097.08 and 1,682.96 is: 2,523.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,065.84 : 9,097.08 = 1,682.96 : x
  2. Step 2: Convert to fraction form
    6,065.84/9,097.08 = 1,682.96/x
  3. Step 3: Cross multiply
    6,065.84x = 9,097.08 × 1,682.96
  4. Step 4: Simplify right side
    6,065.84x = 15,310,021.76
  5. Step 5: Solve for x
    x = 15,310,021.76/6,065.84
  6. Step 6: Final answer
    x = 2,523.97

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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.