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Finding the Fourth Proportional to 5,542.69, 7,647 and 3,554.35

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Solution

The fourth proportional to 5,542.69, 7,647 and 3,554.35 is: 4,903.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,542.69 : 7,647 = 3,554.35 : x
  2. Step 2: Convert to fraction form
    5,542.69/7,647 = 3,554.35/x
  3. Step 3: Cross multiply
    5,542.69x = 7,647 × 3,554.35
  4. Step 4: Simplify right side
    5,542.69x = 27,180,114.45
  5. Step 5: Solve for x
    x = 27,180,114.45/5,542.69
  6. Step 6: Final answer
    x = 4,903.78

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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.