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Finding the Fourth Proportional to 6,041.27, 9,056.86 and 4,196

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Solution

The fourth proportional to 6,041.27, 9,056.86 and 4,196 is: 6,290.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,041.27 : 9,056.86 = 4,196 : x
  2. Step 2: Convert to fraction form
    6,041.27/9,056.86 = 4,196/x
  3. Step 3: Cross multiply
    6,041.27x = 9,056.86 × 4,196
  4. Step 4: Simplify right side
    6,041.27x = 38,002,584.56
  5. Step 5: Solve for x
    x = 38,002,584.56/6,041.27
  6. Step 6: Final answer
    x = 6,290.50

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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.