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Finding the Fourth Proportional to 19,400.40, 29,118.80 and 9,546.80

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Solution

The fourth proportional to 19,400.40, 29,118.80 and 9,546.80 is: 14,329.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,400.40 : 29,118.80 = 9,546.80 : x
  2. Step 2: Convert to fraction form
    19,400.40/29,118.80 = 9,546.80/x
  3. Step 3: Cross multiply
    19,400.40x = 29,118.80 × 9,546.80
  4. Step 4: Simplify right side
    19,400.40x = 277,991,359.84
  5. Step 5: Solve for x
    x = 277,991,359.84/19,400.40
  6. Step 6: Final answer
    x = 14,329.16

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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.