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Finding the Fourth Proportional to 6,314.78, 9,477.90 and 3,196.95

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Solution

The fourth proportional to 6,314.78, 9,477.90 and 3,196.95 is: 4,798.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.78 : 9,477.90 = 3,196.95 : x
  2. Step 2: Convert to fraction form
    6,314.78/9,477.90 = 3,196.95/x
  3. Step 3: Cross multiply
    6,314.78x = 9,477.90 × 3,196.95
  4. Step 4: Simplify right side
    6,314.78x = 30,300,372.41
  5. Step 5: Solve for x
    x = 30,300,372.41/6,314.78
  6. Step 6: Final answer
    x = 4,798.33

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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.