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Finding the Fourth Proportional to 6,104.55, 9,175.05 and 5,302.65

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Solution

The fourth proportional to 6,104.55, 9,175.05 and 5,302.65 is: 7,969.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,104.55 : 9,175.05 = 5,302.65 : x
  2. Step 2: Convert to fraction form
    6,104.55/9,175.05 = 5,302.65/x
  3. Step 3: Cross multiply
    6,104.55x = 9,175.05 × 5,302.65
  4. Step 4: Simplify right side
    6,104.55x = 48,652,078.88
  5. Step 5: Solve for x
    x = 48,652,078.88/6,104.55
  6. Step 6: Final answer
    x = 7,969.81

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1.5x scale

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.