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Finding the Fourth Proportional to 6,316.80, 9,475.20 and 2,212.80

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Solution

The fourth proportional to 6,316.80, 9,475.20 and 2,212.80 is: 3,319.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,316.80 : 9,475.20 = 2,212.80 : x
  2. Step 2: Convert to fraction form
    6,316.80/9,475.20 = 2,212.80/x
  3. Step 3: Cross multiply
    6,316.80x = 9,475.20 × 2,212.80
  4. Step 4: Simplify right side
    6,316.80x = 20,966,722.56
  5. Step 5: Solve for x
    x = 20,966,722.56/6,316.80
  6. Step 6: Final answer
    x = 3,319.20

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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.