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Finding the Fourth Proportional to 4,112, 6,167.40 and 1,514.48

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Solution

The fourth proportional to 4,112, 6,167.40 and 1,514.48 is: 2,271.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,112 : 6,167.40 = 1,514.48 : x
  2. Step 2: Convert to fraction form
    4,112/6,167.40 = 1,514.48/x
  3. Step 3: Cross multiply
    4,112x = 6,167.40 × 1,514.48
  4. Step 4: Simplify right side
    4,112x = 9,340,403.95
  5. Step 5: Solve for x
    x = 9,340,403.95/4,112
  6. Step 6: Final answer
    x = 2,271.50

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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.