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Finding the Fourth Proportional to 3,065.46, 4,596.84 and 873.69

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Solution

The fourth proportional to 3,065.46, 4,596.84 and 873.69 is: 1,310.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.46 : 4,596.84 = 873.69 : x
  2. Step 2: Convert to fraction form
    3,065.46/4,596.84 = 873.69/x
  3. Step 3: Cross multiply
    3,065.46x = 4,596.84 × 873.69
  4. Step 4: Simplify right side
    3,065.46x = 4,016,213.14
  5. Step 5: Solve for x
    x = 4,016,213.14/3,065.46
  6. Step 6: Final answer
    x = 1,310.15

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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.