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Finding the Fourth Proportional to 6,092.41, 9,143.42 and 3,130.74

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Solution

The fourth proportional to 6,092.41, 9,143.42 and 3,130.74 is: 4,698.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.41 : 9,143.42 = 3,130.74 : x
  2. Step 2: Convert to fraction form
    6,092.41/9,143.42 = 3,130.74/x
  3. Step 3: Cross multiply
    6,092.41x = 9,143.42 × 3,130.74
  4. Step 4: Simplify right side
    6,092.41x = 28,625,632.84
  5. Step 5: Solve for x
    x = 28,625,632.84/6,092.41
  6. Step 6: Final answer
    x = 4,698.57

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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.