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Finding the Fourth Proportional to 6,537.04, 9,022.32 and 3,886

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Solution

The fourth proportional to 6,537.04, 9,022.32 and 3,886 is: 5,363.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.04 : 9,022.32 = 3,886 : x
  2. Step 2: Convert to fraction form
    6,537.04/9,022.32 = 3,886/x
  3. Step 3: Cross multiply
    6,537.04x = 9,022.32 × 3,886
  4. Step 4: Simplify right side
    6,537.04x = 35,060,735.52
  5. Step 5: Solve for x
    x = 35,060,735.52/6,537.04
  6. Step 6: Final answer
    x = 5,363.40

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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.