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Finding the Fourth Proportional to 6,833, 9,427.92 and 3,848.24

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Solution

The fourth proportional to 6,833, 9,427.92 and 3,848.24 is: 5,309.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833 : 9,427.92 = 3,848.24 : x
  2. Step 2: Convert to fraction form
    6,833/9,427.92 = 3,848.24/x
  3. Step 3: Cross multiply
    6,833x = 9,427.92 × 3,848.24
  4. Step 4: Simplify right side
    6,833x = 36,280,898.86
  5. Step 5: Solve for x
    x = 36,280,898.86/6,833
  6. Step 6: Final answer
    x = 5,309.66

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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.