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Finding the Fourth Proportional to 9,783.20, 14,674.80 and 3,936.80

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Solution

The fourth proportional to 9,783.20, 14,674.80 and 3,936.80 is: 5,905.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.20 : 14,674.80 = 3,936.80 : x
  2. Step 2: Convert to fraction form
    9,783.20/14,674.80 = 3,936.80/x
  3. Step 3: Cross multiply
    9,783.20x = 14,674.80 × 3,936.80
  4. Step 4: Simplify right side
    9,783.20x = 57,771,752.64
  5. Step 5: Solve for x
    x = 57,771,752.64/9,783.20
  6. Step 6: Final answer
    x = 5,905.20

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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.