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Finding the Fourth Proportional to 6,300, 9,449.99 and 2,833.20

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Solution

The fourth proportional to 6,300, 9,449.99 and 2,833.20 is: 4,249.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,300 : 9,449.99 = 2,833.20 : x
  2. Step 2: Convert to fraction form
    6,300/9,449.99 = 2,833.20/x
  3. Step 3: Cross multiply
    6,300x = 9,449.99 × 2,833.20
  4. Step 4: Simplify right side
    6,300x = 26,773,697.50
  5. Step 5: Solve for x
    x = 26,773,697.50/6,300
  6. Step 6: Final answer
    x = 4,249.79

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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.