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Finding the Fourth Proportional to 30,983.04, 46,474.56 and 7,609.47

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Solution

The fourth proportional to 30,983.04, 46,474.56 and 7,609.47 is: 11,414.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,983.04 : 46,474.56 = 7,609.47 : x
  2. Step 2: Convert to fraction form
    30,983.04/46,474.56 = 7,609.47/x
  3. Step 3: Cross multiply
    30,983.04x = 46,474.56 × 7,609.47
  4. Step 4: Simplify right side
    30,983.04x = 353,646,770.08
  5. Step 5: Solve for x
    x = 353,646,770.08/30,983.04
  6. Step 6: Final answer
    x = 11,414.21

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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.