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Finding the Fourth Proportional to 4,647.27, 6,971.97 and 1,527.48

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Solution

The fourth proportional to 4,647.27, 6,971.97 and 1,527.48 is: 2,291.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.27 : 6,971.97 = 1,527.48 : x
  2. Step 2: Convert to fraction form
    4,647.27/6,971.97 = 1,527.48/x
  3. Step 3: Cross multiply
    4,647.27x = 6,971.97 × 1,527.48
  4. Step 4: Simplify right side
    4,647.27x = 10,649,544.74
  5. Step 5: Solve for x
    x = 10,649,544.74/4,647.27
  6. Step 6: Final answer
    x = 2,291.57

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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.