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Finding the Fourth Proportional to 6,443.88, 9,670.12 and 2,283.86

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Solution

The fourth proportional to 6,443.88, 9,670.12 and 2,283.86 is: 3,427.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,443.88 : 9,670.12 = 2,283.86 : x
  2. Step 2: Convert to fraction form
    6,443.88/9,670.12 = 2,283.86/x
  3. Step 3: Cross multiply
    6,443.88x = 9,670.12 × 2,283.86
  4. Step 4: Simplify right side
    6,443.88x = 22,085,200.26
  5. Step 5: Solve for x
    x = 22,085,200.26/6,443.88
  6. Step 6: Final answer
    x = 3,427.31

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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.