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Finding the Fourth Proportional to 6,285.44, 9,427.44 and 1,901.84

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Solution

The fourth proportional to 6,285.44, 9,427.44 and 1,901.84 is: 2,852.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,285.44 : 9,427.44 = 1,901.84 : x
  2. Step 2: Convert to fraction form
    6,285.44/9,427.44 = 1,901.84/x
  3. Step 3: Cross multiply
    6,285.44x = 9,427.44 × 1,901.84
  4. Step 4: Simplify right side
    6,285.44x = 17,929,482.49
  5. Step 5: Solve for x
    x = 17,929,482.49/6,285.44
  6. Step 6: Final answer
    x = 2,852.54

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.