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Finding the Fourth Proportional to 6,366.48, 9,547.86 and 2,668.62

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Solution

The fourth proportional to 6,366.48, 9,547.86 and 2,668.62 is: 4,002.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,366.48 : 9,547.86 = 2,668.62 : x
  2. Step 2: Convert to fraction form
    6,366.48/9,547.86 = 2,668.62/x
  3. Step 3: Cross multiply
    6,366.48x = 9,547.86 × 2,668.62
  4. Step 4: Simplify right side
    6,366.48x = 25,479,610.15
  5. Step 5: Solve for x
    x = 25,479,610.15/6,366.48
  6. Step 6: Final answer
    x = 4,002.15

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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.