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Finding the Fourth Proportional to 5,412.20, 8,212.72 and 5,412.20

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Solution

The fourth proportional to 5,412.20, 8,212.72 and 5,412.20 is: 8,212.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412.20 : 8,212.72 = 5,412.20 : x
  2. Step 2: Convert to fraction form
    5,412.20/8,212.72 = 5,412.20/x
  3. Step 3: Cross multiply
    5,412.20x = 8,212.72 × 5,412.20
  4. Step 4: Simplify right side
    5,412.20x = 44,448,883.18
  5. Step 5: Solve for x
    x = 44,448,883.18/5,412.20
  6. Step 6: Final answer
    x = 8,212.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.