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Finding the Fourth Proportional to 4,611.63, 6,917.40 and 1,324.65

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Solution

The fourth proportional to 4,611.63, 6,917.40 and 1,324.65 is: 1,986.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,611.63 : 6,917.40 = 1,324.65 : x
  2. Step 2: Convert to fraction form
    4,611.63/6,917.40 = 1,324.65/x
  3. Step 3: Cross multiply
    4,611.63x = 6,917.40 × 1,324.65
  4. Step 4: Simplify right side
    4,611.63x = 9,163,133.91
  5. Step 5: Solve for x
    x = 9,163,133.91/4,611.63
  6. Step 6: Final answer
    x = 1,986.96

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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.