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Finding the Fourth Proportional to 11,554.83, 15,940.52 and 6,836.38

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Solution

The fourth proportional to 11,554.83, 15,940.52 and 6,836.38 is: 9,431.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,554.83 : 15,940.52 = 6,836.38 : x
  2. Step 2: Convert to fraction form
    11,554.83/15,940.52 = 6,836.38/x
  3. Step 3: Cross multiply
    11,554.83x = 15,940.52 × 6,836.38
  4. Step 4: Simplify right side
    11,554.83x = 108,975,452.12
  5. Step 5: Solve for x
    x = 108,975,452.12/11,554.83
  6. Step 6: Final answer
    x = 9,431.16

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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.