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Finding the Fourth Proportional to 4,672.80, 7,009.20 and 4,096.80

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Solution

The fourth proportional to 4,672.80, 7,009.20 and 4,096.80 is: 6,145.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.80 : 7,009.20 = 4,096.80 : x
  2. Step 2: Convert to fraction form
    4,672.80/7,009.20 = 4,096.80/x
  3. Step 3: Cross multiply
    4,672.80x = 7,009.20 × 4,096.80
  4. Step 4: Simplify right side
    4,672.80x = 28,715,290.56
  5. Step 5: Solve for x
    x = 28,715,290.56/4,672.80
  6. Step 6: Final answer
    x = 6,145.20

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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.