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Finding the Fourth Proportional to 3,162.14, 4,743.20 and 853.64

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Solution

The fourth proportional to 3,162.14, 4,743.20 and 853.64 is: 1,280.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.14 : 4,743.20 = 853.64 : x
  2. Step 2: Convert to fraction form
    3,162.14/4,743.20 = 853.64/x
  3. Step 3: Cross multiply
    3,162.14x = 4,743.20 × 853.64
  4. Step 4: Simplify right side
    3,162.14x = 4,048,985.25
  5. Step 5: Solve for x
    x = 4,048,985.25/3,162.14
  6. Step 6: Final answer
    x = 1,280.46

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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.