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Finding the Fourth Proportional to 9,176, 13,764 and 3,020.48

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Solution

The fourth proportional to 9,176, 13,764 and 3,020.48 is: 4,530.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,176 : 13,764 = 3,020.48 : x
  2. Step 2: Convert to fraction form
    9,176/13,764 = 3,020.48/x
  3. Step 3: Cross multiply
    9,176x = 13,764 × 3,020.48
  4. Step 4: Simplify right side
    9,176x = 41,573,886.72
  5. Step 5: Solve for x
    x = 41,573,886.72/9,176
  6. Step 6: Final answer
    x = 4,530.72

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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.