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Finding the Fourth Proportional to 6,643.96, 9,162.42 and 4,969.24

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Solution

The fourth proportional to 6,643.96, 9,162.42 and 4,969.24 is: 6,852.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643.96 : 9,162.42 = 4,969.24 : x
  2. Step 2: Convert to fraction form
    6,643.96/9,162.42 = 4,969.24/x
  3. Step 3: Cross multiply
    6,643.96x = 9,162.42 × 4,969.24
  4. Step 4: Simplify right side
    6,643.96x = 45,530,263.96
  5. Step 5: Solve for x
    x = 45,530,263.96/6,643.96
  6. Step 6: Final answer
    x = 6,852.88

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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.