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Finding the Fourth Proportional to 6,205.20, 8,713.20 and 6,205.20

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Solution

The fourth proportional to 6,205.20, 8,713.20 and 6,205.20 is: 8,713.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.20 : 8,713.20 = 6,205.20 : x
  2. Step 2: Convert to fraction form
    6,205.20/8,713.20 = 6,205.20/x
  3. Step 3: Cross multiply
    6,205.20x = 8,713.20 × 6,205.20
  4. Step 4: Simplify right side
    6,205.20x = 54,067,148.64
  5. Step 5: Solve for x
    x = 54,067,148.64/6,205.20
  6. Step 6: Final answer
    x = 8,713.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.