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Finding the Fourth Proportional to 6,037, 9,056.04 and 1,933

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Solution

The fourth proportional to 6,037, 9,056.04 and 1,933 is: 2,899.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,037 : 9,056.04 = 1,933 : x
  2. Step 2: Convert to fraction form
    6,037/9,056.04 = 1,933/x
  3. Step 3: Cross multiply
    6,037x = 9,056.04 × 1,933
  4. Step 4: Simplify right side
    6,037x = 17,505,325.32
  5. Step 5: Solve for x
    x = 17,505,325.32/6,037
  6. Step 6: Final answer
    x = 2,899.67

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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.