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Finding the Fourth Proportional to 11,629.57, 16,051.74 and 6,596.78

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Solution

The fourth proportional to 11,629.57, 16,051.74 and 6,596.78 is: 9,105.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,629.57 : 16,051.74 = 6,596.78 : x
  2. Step 2: Convert to fraction form
    11,629.57/16,051.74 = 6,596.78/x
  3. Step 3: Cross multiply
    11,629.57x = 16,051.74 × 6,596.78
  4. Step 4: Simplify right side
    11,629.57x = 105,889,837.53
  5. Step 5: Solve for x
    x = 105,889,837.53/11,629.57
  6. Step 6: Final answer
    x = 9,105.23

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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.