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Finding the Fourth Proportional to 11,596.34, 16,002.83 and 6,291.11

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Solution

The fourth proportional to 11,596.34, 16,002.83 and 6,291.11 is: 8,681.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.34 : 16,002.83 = 6,291.11 : x
  2. Step 2: Convert to fraction form
    11,596.34/16,002.83 = 6,291.11/x
  3. Step 3: Cross multiply
    11,596.34x = 16,002.83 × 6,291.11
  4. Step 4: Simplify right side
    11,596.34x = 100,675,532.39
  5. Step 5: Solve for x
    x = 100,675,532.39/11,596.34
  6. Step 6: Final answer
    x = 8,681.66

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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.