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Finding the Fourth Proportional to 6,347.14, 9,520.74 and 1,964.62

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Solution

The fourth proportional to 6,347.14, 9,520.74 and 1,964.62 is: 2,946.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,347.14 : 9,520.74 = 1,964.62 : x
  2. Step 2: Convert to fraction form
    6,347.14/9,520.74 = 1,964.62/x
  3. Step 3: Cross multiply
    6,347.14x = 9,520.74 × 1,964.62
  4. Step 4: Simplify right side
    6,347.14x = 18,704,636.22
  5. Step 5: Solve for x
    x = 18,704,636.22/6,347.14
  6. Step 6: Final answer
    x = 2,946.94

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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.