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Finding the Fourth Proportional to 33,584.40, 50,378.40 and 10,209.06

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Solution

The fourth proportional to 33,584.40, 50,378.40 and 10,209.06 is: 15,314.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,584.40 : 50,378.40 = 10,209.06 : x
  2. Step 2: Convert to fraction form
    33,584.40/50,378.40 = 10,209.06/x
  3. Step 3: Cross multiply
    33,584.40x = 50,378.40 × 10,209.06
  4. Step 4: Simplify right side
    33,584.40x = 514,316,108.30
  5. Step 5: Solve for x
    x = 514,316,108.30/33,584.40
  6. Step 6: Final answer
    x = 15,314.14

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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.