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Finding the Fourth Proportional to 4,650.74, 6,975.75 and 1,530.85

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Solution

The fourth proportional to 4,650.74, 6,975.75 and 1,530.85 is: 2,296.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,650.74 : 6,975.75 = 1,530.85 : x
  2. Step 2: Convert to fraction form
    4,650.74/6,975.75 = 1,530.85/x
  3. Step 3: Cross multiply
    4,650.74x = 6,975.75 × 1,530.85
  4. Step 4: Simplify right side
    4,650.74x = 10,678,826.89
  5. Step 5: Solve for x
    x = 10,678,826.89/4,650.74
  6. Step 6: Final answer
    x = 2,296.16

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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.