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Finding the Fourth Proportional to 4,650.67, 6,975.23 and 1,530.71

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Solution

The fourth proportional to 4,650.67, 6,975.23 and 1,530.71 is: 2,295.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,650.67 : 6,975.23 = 1,530.71 : x
  2. Step 2: Convert to fraction form
    4,650.67/6,975.23 = 1,530.71/x
  3. Step 3: Cross multiply
    4,650.67x = 6,975.23 × 1,530.71
  4. Step 4: Simplify right side
    4,650.67x = 10,677,054.31
  5. Step 5: Solve for x
    x = 10,677,054.31/4,650.67
  6. Step 6: Final answer
    x = 2,295.81

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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.