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Finding the Fourth Proportional to 6,932.04, 9,566.37 and 4,137

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Solution

The fourth proportional to 6,932.04, 9,566.37 and 4,137 is: 5,709.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,932.04 : 9,566.37 = 4,137 : x
  2. Step 2: Convert to fraction form
    6,932.04/9,566.37 = 4,137/x
  3. Step 3: Cross multiply
    6,932.04x = 9,566.37 × 4,137
  4. Step 4: Simplify right side
    6,932.04x = 39,576,072.69
  5. Step 5: Solve for x
    x = 39,576,072.69/6,932.04
  6. Step 6: Final answer
    x = 5,709.15

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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.