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Finding the Fourth Proportional to 6,842.28, 9,441 and 4,047.96

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Solution

The fourth proportional to 6,842.28, 9,441 and 4,047.96 is: 5,585.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.28 : 9,441 = 4,047.96 : x
  2. Step 2: Convert to fraction form
    6,842.28/9,441 = 4,047.96/x
  3. Step 3: Cross multiply
    6,842.28x = 9,441 × 4,047.96
  4. Step 4: Simplify right side
    6,842.28x = 38,216,790.36
  5. Step 5: Solve for x
    x = 38,216,790.36/6,842.28
  6. Step 6: Final answer
    x = 5,585.39

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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.