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Finding the Fourth Proportional to 11,596.91, 16,006.68 and 7,623.45

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Solution

The fourth proportional to 11,596.91, 16,006.68 and 7,623.45 is: 10,522.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.91 : 16,006.68 = 7,623.45 : x
  2. Step 2: Convert to fraction form
    11,596.91/16,006.68 = 7,623.45/x
  3. Step 3: Cross multiply
    11,596.91x = 16,006.68 × 7,623.45
  4. Step 4: Simplify right side
    11,596.91x = 122,026,124.65
  5. Step 5: Solve for x
    x = 122,026,124.65/11,596.91
  6. Step 6: Final answer
    x = 10,522.30

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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.