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Finding the Fourth Proportional to 5,909.69, 8,167.13 and 4,845.80

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Solution

The fourth proportional to 5,909.69, 8,167.13 and 4,845.80 is: 6,696.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,909.69 : 8,167.13 = 4,845.80 : x
  2. Step 2: Convert to fraction form
    5,909.69/8,167.13 = 4,845.80/x
  3. Step 3: Cross multiply
    5,909.69x = 8,167.13 × 4,845.80
  4. Step 4: Simplify right side
    5,909.69x = 39,576,279.29
  5. Step 5: Solve for x
    x = 39,576,279.29/5,909.69
  6. Step 6: Final answer
    x = 6,696.85

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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.