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Finding the Fourth Proportional to 4,661.77, 6,992.67 and 1,740.03

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Solution

The fourth proportional to 4,661.77, 6,992.67 and 1,740.03 is: 2,610.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.77 : 6,992.67 = 1,740.03 : x
  2. Step 2: Convert to fraction form
    4,661.77/6,992.67 = 1,740.03/x
  3. Step 3: Cross multiply
    4,661.77x = 6,992.67 × 1,740.03
  4. Step 4: Simplify right side
    4,661.77x = 12,167,455.58
  5. Step 5: Solve for x
    x = 12,167,455.58/4,661.77
  6. Step 6: Final answer
    x = 2,610.05

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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.