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Finding the Fourth Proportional to 6,456.86, 9,668.88 and 4,258.93

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Solution

The fourth proportional to 6,456.86, 9,668.88 and 4,258.93 is: 6,377.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.86 : 9,668.88 = 4,258.93 : x
  2. Step 2: Convert to fraction form
    6,456.86/9,668.88 = 4,258.93/x
  3. Step 3: Cross multiply
    6,456.86x = 9,668.88 × 4,258.93
  4. Step 4: Simplify right side
    6,456.86x = 41,179,083.10
  5. Step 5: Solve for x
    x = 41,179,083.10/6,456.86
  6. Step 6: Final answer
    x = 6,377.57

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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.