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Finding the Fourth Proportional to 6,674.96, 9,211.88 and 3,842.69

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Solution

The fourth proportional to 6,674.96, 9,211.88 and 3,842.69 is: 5,303.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,674.96 : 9,211.88 = 3,842.69 : x
  2. Step 2: Convert to fraction form
    6,674.96/9,211.88 = 3,842.69/x
  3. Step 3: Cross multiply
    6,674.96x = 9,211.88 × 3,842.69
  4. Step 4: Simplify right side
    6,674.96x = 35,398,362.70
  5. Step 5: Solve for x
    x = 35,398,362.70/6,674.96
  6. Step 6: Final answer
    x = 5,303.16

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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.