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Finding the Fourth Proportional to 30,674.43, 46,012.22 and 9,614.01

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Solution

The fourth proportional to 30,674.43, 46,012.22 and 9,614.01 is: 14,421.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,674.43 : 46,012.22 = 9,614.01 : x
  2. Step 2: Convert to fraction form
    30,674.43/46,012.22 = 9,614.01/x
  3. Step 3: Cross multiply
    30,674.43x = 46,012.22 × 9,614.01
  4. Step 4: Simplify right side
    30,674.43x = 442,361,713.14
  5. Step 5: Solve for x
    x = 442,361,713.14/30,674.43
  6. Step 6: Final answer
    x = 14,421.19

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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.