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Finding the Fourth Proportional to 3,186.37, 4,779.62 and 995.12

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Solution

The fourth proportional to 3,186.37, 4,779.62 and 995.12 is: 1,492.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.37 : 4,779.62 = 995.12 : x
  2. Step 2: Convert to fraction form
    3,186.37/4,779.62 = 995.12/x
  3. Step 3: Cross multiply
    3,186.37x = 4,779.62 × 995.12
  4. Step 4: Simplify right side
    3,186.37x = 4,756,295.45
  5. Step 5: Solve for x
    x = 4,756,295.45/3,186.37
  6. Step 6: Final answer
    x = 1,492.70

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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.