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Finding the Fourth Proportional to 3,911.76, 5,867.87 and 990.09

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Solution

The fourth proportional to 3,911.76, 5,867.87 and 990.09 is: 1,485.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.76 : 5,867.87 = 990.09 : x
  2. Step 2: Convert to fraction form
    3,911.76/5,867.87 = 990.09/x
  3. Step 3: Cross multiply
    3,911.76x = 5,867.87 × 990.09
  4. Step 4: Simplify right side
    3,911.76x = 5,809,714.46
  5. Step 5: Solve for x
    x = 5,809,714.46/3,911.76
  6. Step 6: Final answer
    x = 1,485.19

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Double 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.