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Finding the Fourth Proportional to 6,106.41, 9,159.93 and 1,724.22

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Solution

The fourth proportional to 6,106.41, 9,159.93 and 1,724.22 is: 2,586.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,106.41 : 9,159.93 = 1,724.22 : x
  2. Step 2: Convert to fraction form
    6,106.41/9,159.93 = 1,724.22/x
  3. Step 3: Cross multiply
    6,106.41x = 9,159.93 × 1,724.22
  4. Step 4: Simplify right side
    6,106.41x = 15,793,734.50
  5. Step 5: Solve for x
    x = 15,793,734.50/6,106.41
  6. Step 6: Final answer
    x = 2,586.42

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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.