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Finding the Fourth Proportional to 27,954, 38,576.64 and 15,378.96

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Solution

The fourth proportional to 27,954, 38,576.64 and 15,378.96 is: 21,223.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,954 : 38,576.64 = 15,378.96 : x
  2. Step 2: Convert to fraction form
    27,954/38,576.64 = 15,378.96/x
  3. Step 3: Cross multiply
    27,954x = 38,576.64 × 15,378.96
  4. Step 4: Simplify right side
    27,954x = 593,268,603.49
  5. Step 5: Solve for x
    x = 593,268,603.49/27,954
  6. Step 6: Final answer
    x = 21,223.03

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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.