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Finding the Fourth Proportional to 6,057.05, 9,085.56 and 1,674.50

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Solution

The fourth proportional to 6,057.05, 9,085.56 and 1,674.50 is: 2,511.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057.05 : 9,085.56 = 1,674.50 : x
  2. Step 2: Convert to fraction form
    6,057.05/9,085.56 = 1,674.50/x
  3. Step 3: Cross multiply
    6,057.05x = 9,085.56 × 1,674.50
  4. Step 4: Simplify right side
    6,057.05x = 15,213,718.51
  5. Step 5: Solve for x
    x = 15,213,718.51/6,057.05
  6. Step 6: Final answer
    x = 2,511.74

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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.