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Finding the Fourth Proportional to 4,657.11, 6,986.81 and 2,318.23

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Solution

The fourth proportional to 4,657.11, 6,986.81 and 2,318.23 is: 3,477.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.11 : 6,986.81 = 2,318.23 : x
  2. Step 2: Convert to fraction form
    4,657.11/6,986.81 = 2,318.23/x
  3. Step 3: Cross multiply
    4,657.11x = 6,986.81 × 2,318.23
  4. Step 4: Simplify right side
    4,657.11x = 16,197,020.87
  5. Step 5: Solve for x
    x = 16,197,020.87/4,657.11
  6. Step 6: Final answer
    x = 3,477.91

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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.