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Finding the Fourth Proportional to 27,013.54, 40,538.41 and 9,483.42

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Solution

The fourth proportional to 27,013.54, 40,538.41 and 9,483.42 is: 14,231.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,013.54 : 40,538.41 = 9,483.42 : x
  2. Step 2: Convert to fraction form
    27,013.54/40,538.41 = 9,483.42/x
  3. Step 3: Cross multiply
    27,013.54x = 40,538.41 × 9,483.42
  4. Step 4: Simplify right side
    27,013.54x = 384,442,768.16
  5. Step 5: Solve for x
    x = 384,442,768.16/27,013.54
  6. Step 6: Final answer
    x = 14,231.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.