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Finding the Fourth Proportional to 6,911.34, 9,537.75 and 3,927.24

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Solution

The fourth proportional to 6,911.34, 9,537.75 and 3,927.24 is: 5,419.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.34 : 9,537.75 = 3,927.24 : x
  2. Step 2: Convert to fraction form
    6,911.34/9,537.75 = 3,927.24/x
  3. Step 3: Cross multiply
    6,911.34x = 9,537.75 × 3,927.24
  4. Step 4: Simplify right side
    6,911.34x = 37,457,033.31
  5. Step 5: Solve for x
    x = 37,457,033.31/6,911.34
  6. Step 6: Final answer
    x = 5,419.65

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1.5x scale

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.