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Finding the Fourth Proportional to 11,702.99, 16,157.87 and 7,233.31

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Solution

The fourth proportional to 11,702.99, 16,157.87 and 7,233.31 is: 9,986.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.99 : 16,157.87 = 7,233.31 : x
  2. Step 2: Convert to fraction form
    11,702.99/16,157.87 = 7,233.31/x
  3. Step 3: Cross multiply
    11,702.99x = 16,157.87 × 7,233.31
  4. Step 4: Simplify right side
    11,702.99x = 116,874,882.65
  5. Step 5: Solve for x
    x = 116,874,882.65/11,702.99
  6. Step 6: Final answer
    x = 9,986.75

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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.