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Finding the Fourth Proportional to 6,783.20, 10,174.80 and 6,264.80

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Solution

The fourth proportional to 6,783.20, 10,174.80 and 6,264.80 is: 9,397.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.20 : 10,174.80 = 6,264.80 : x
  2. Step 2: Convert to fraction form
    6,783.20/10,174.80 = 6,264.80/x
  3. Step 3: Cross multiply
    6,783.20x = 10,174.80 × 6,264.80
  4. Step 4: Simplify right side
    6,783.20x = 63,743,087.04
  5. Step 5: Solve for x
    x = 63,743,087.04/6,783.20
  6. Step 6: Final answer
    x = 9,397.20

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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.