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Finding the Fourth Proportional to 6,308.98, 9,464.86 and 1,926.76

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Solution

The fourth proportional to 6,308.98, 9,464.86 and 1,926.76 is: 2,890.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308.98 : 9,464.86 = 1,926.76 : x
  2. Step 2: Convert to fraction form
    6,308.98/9,464.86 = 1,926.76/x
  3. Step 3: Cross multiply
    6,308.98x = 9,464.86 × 1,926.76
  4. Step 4: Simplify right side
    6,308.98x = 18,236,513.65
  5. Step 5: Solve for x
    x = 18,236,513.65/6,308.98
  6. Step 6: Final answer
    x = 2,890.56

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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.