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Finding the Fourth Proportional to 11,596.99, 16,002.95 and 6,817.12

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Solution

The fourth proportional to 11,596.99, 16,002.95 and 6,817.12 is: 9,407.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.99 : 16,002.95 = 6,817.12 : x
  2. Step 2: Convert to fraction form
    11,596.99/16,002.95 = 6,817.12/x
  3. Step 3: Cross multiply
    11,596.99x = 16,002.95 × 6,817.12
  4. Step 4: Simplify right side
    11,596.99x = 109,093,970.06
  5. Step 5: Solve for x
    x = 109,093,970.06/11,596.99
  6. Step 6: Final answer
    x = 9,407.09

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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.