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Finding the Fourth Proportional to 5,165, 7,146.47 and 4,503.23

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Solution

The fourth proportional to 5,165, 7,146.47 and 4,503.23 is: 6,230.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165 : 7,146.47 = 4,503.23 : x
  2. Step 2: Convert to fraction form
    5,165/7,146.47 = 4,503.23/x
  3. Step 3: Cross multiply
    5,165x = 7,146.47 × 4,503.23
  4. Step 4: Simplify right side
    5,165x = 32,182,198.10
  5. Step 5: Solve for x
    x = 32,182,198.10/5,165
  6. Step 6: Final answer
    x = 6,230.82

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Similar ratio
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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.