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Finding the Fourth Proportional to 6,316.90, 9,449.42 and 5,267.14

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Solution

The fourth proportional to 6,316.90, 9,449.42 and 5,267.14 is: 7,879.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,316.90 : 9,449.42 = 5,267.14 : x
  2. Step 2: Convert to fraction form
    6,316.90/9,449.42 = 5,267.14/x
  3. Step 3: Cross multiply
    6,316.90x = 9,449.42 × 5,267.14
  4. Step 4: Simplify right side
    6,316.90x = 49,771,418.06
  5. Step 5: Solve for x
    x = 49,771,418.06/6,316.90
  6. Step 6: Final answer
    x = 7,879.09

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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.