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Finding the Fourth Proportional to 4,272.81, 5,893.05 and 2,946.21

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Solution

The fourth proportional to 4,272.81, 5,893.05 and 2,946.21 is: 4,063.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,272.81 : 5,893.05 = 2,946.21 : x
  2. Step 2: Convert to fraction form
    4,272.81/5,893.05 = 2,946.21/x
  3. Step 3: Cross multiply
    4,272.81x = 5,893.05 × 2,946.21
  4. Step 4: Simplify right side
    4,272.81x = 17,362,162.84
  5. Step 5: Solve for x
    x = 17,362,162.84/4,272.81
  6. Step 6: Final answer
    x = 4,063.41

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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.