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Finding the Fourth Proportional to 30,968.22, 46,455.41 and 9,902.97

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Solution

The fourth proportional to 30,968.22, 46,455.41 and 9,902.97 is: 14,855.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,968.22 : 46,455.41 = 9,902.97 : x
  2. Step 2: Convert to fraction form
    30,968.22/46,455.41 = 9,902.97/x
  3. Step 3: Cross multiply
    30,968.22x = 46,455.41 × 9,902.97
  4. Step 4: Simplify right side
    30,968.22x = 460,046,607.73
  5. Step 5: Solve for x
    x = 460,046,607.73/30,968.22
  6. Step 6: Final answer
    x = 14,855.44

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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.