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Finding the Fourth Proportional to 4,661.80, 6,993.90 and 1,740.12

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Solution

The fourth proportional to 4,661.80, 6,993.90 and 1,740.12 is: 2,610.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.80 : 6,993.90 = 1,740.12 : x
  2. Step 2: Convert to fraction form
    4,661.80/6,993.90 = 1,740.12/x
  3. Step 3: Cross multiply
    4,661.80x = 6,993.90 × 1,740.12
  4. Step 4: Simplify right side
    4,661.80x = 12,170,225.27
  5. Step 5: Solve for x
    x = 12,170,225.27/4,661.80
  6. Step 6: Final answer
    x = 2,610.63

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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.