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Finding the Fourth Proportional to 6,596.41, 9,103.57 and 3,763.14

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Solution

The fourth proportional to 6,596.41, 9,103.57 and 3,763.14 is: 5,193.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596.41 : 9,103.57 = 3,763.14 : x
  2. Step 2: Convert to fraction form
    6,596.41/9,103.57 = 3,763.14/x
  3. Step 3: Cross multiply
    6,596.41x = 9,103.57 × 3,763.14
  4. Step 4: Simplify right side
    6,596.41x = 34,257,962.89
  5. Step 5: Solve for x
    x = 34,257,962.89/6,596.41
  6. Step 6: Final answer
    x = 5,193.42

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Half scale
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Double scale
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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.