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Finding the Fourth Proportional to 6,293.83, 9,442.11 and 1,911.63

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Solution

The fourth proportional to 6,293.83, 9,442.11 and 1,911.63 is: 2,867.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,293.83 : 9,442.11 = 1,911.63 : x
  2. Step 2: Convert to fraction form
    6,293.83/9,442.11 = 1,911.63/x
  3. Step 3: Cross multiply
    6,293.83x = 9,442.11 × 1,911.63
  4. Step 4: Simplify right side
    6,293.83x = 18,049,820.74
  5. Step 5: Solve for x
    x = 18,049,820.74/6,293.83
  6. Step 6: Final answer
    x = 2,867.86

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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.