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Finding the Fourth Proportional to 5,494.84, 7,583.42 and 3,137.33

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Solution

The fourth proportional to 5,494.84, 7,583.42 and 3,137.33 is: 4,329.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.84 : 7,583.42 = 3,137.33 : x
  2. Step 2: Convert to fraction form
    5,494.84/7,583.42 = 3,137.33/x
  3. Step 3: Cross multiply
    5,494.84x = 7,583.42 × 3,137.33
  4. Step 4: Simplify right side
    5,494.84x = 23,791,675.38
  5. Step 5: Solve for x
    x = 23,791,675.38/5,494.84
  6. Step 6: Final answer
    x = 4,329.83

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Half scale
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Double scale
Find fourth proportional to 5,495.84, 7,584.80 and 3,138.33
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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.