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Finding the Fourth Proportional to 4,684.74, 7,024.98 and 1,760.97

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Solution

The fourth proportional to 4,684.74, 7,024.98 and 1,760.97 is: 2,640.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684.74 : 7,024.98 = 1,760.97 : x
  2. Step 2: Convert to fraction form
    4,684.74/7,024.98 = 1,760.97/x
  3. Step 3: Cross multiply
    4,684.74x = 7,024.98 × 1,760.97
  4. Step 4: Simplify right side
    4,684.74x = 12,370,779.03
  5. Step 5: Solve for x
    x = 12,370,779.03/4,684.74
  6. Step 6: Final answer
    x = 2,640.65

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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.