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Finding the Fourth Proportional to 4,092.63, 6,139.01 and 1,014.63

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Solution

The fourth proportional to 4,092.63, 6,139.01 and 1,014.63 is: 1,521.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,092.63 : 6,139.01 = 1,014.63 : x
  2. Step 2: Convert to fraction form
    4,092.63/6,139.01 = 1,014.63/x
  3. Step 3: Cross multiply
    4,092.63x = 6,139.01 × 1,014.63
  4. Step 4: Simplify right side
    4,092.63x = 6,228,823.72
  5. Step 5: Solve for x
    x = 6,228,823.72/4,092.63
  6. Step 6: Final answer
    x = 1,521.96

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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.