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Finding the Fourth Proportional to 30,348.99, 45,506.09 and 9,283.17

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Solution

The fourth proportional to 30,348.99, 45,506.09 and 9,283.17 is: 13,919.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,348.99 : 45,506.09 = 9,283.17 : x
  2. Step 2: Convert to fraction form
    30,348.99/45,506.09 = 9,283.17/x
  3. Step 3: Cross multiply
    30,348.99x = 45,506.09 × 9,283.17
  4. Step 4: Simplify right side
    30,348.99x = 422,440,723.09
  5. Step 5: Solve for x
    x = 422,440,723.09/30,348.99
  6. Step 6: Final answer
    x = 13,919.43

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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.