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Finding the Fourth Proportional to 4,706.68, 7,059.48 and 1,930.72

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Solution

The fourth proportional to 4,706.68, 7,059.48 and 1,930.72 is: 2,895.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.68 : 7,059.48 = 1,930.72 : x
  2. Step 2: Convert to fraction form
    4,706.68/7,059.48 = 1,930.72/x
  3. Step 3: Cross multiply
    4,706.68x = 7,059.48 × 1,930.72
  4. Step 4: Simplify right side
    4,706.68x = 13,629,879.23
  5. Step 5: Solve for x
    x = 13,629,879.23/4,706.68
  6. Step 6: Final answer
    x = 2,895.86

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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.