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Finding the Fourth Proportional to 7,813.26, 10,782 and 4,668.84

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Solution

The fourth proportional to 7,813.26, 10,782 and 4,668.84 is: 6,442.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.26 : 10,782 = 4,668.84 : x
  2. Step 2: Convert to fraction form
    7,813.26/10,782 = 4,668.84/x
  3. Step 3: Cross multiply
    7,813.26x = 10,782 × 4,668.84
  4. Step 4: Simplify right side
    7,813.26x = 50,339,432.88
  5. Step 5: Solve for x
    x = 50,339,432.88/7,813.26
  6. Step 6: Final answer
    x = 6,442.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.