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Finding the Fourth Proportional to 6,799.86, 9,384.48 and 4,566.38

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Solution

The fourth proportional to 6,799.86, 9,384.48 and 4,566.38 is: 6,302.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,799.86 : 9,384.48 = 4,566.38 : x
  2. Step 2: Convert to fraction form
    6,799.86/9,384.48 = 4,566.38/x
  3. Step 3: Cross multiply
    6,799.86x = 9,384.48 × 4,566.38
  4. Step 4: Simplify right side
    6,799.86x = 42,853,078.95
  5. Step 5: Solve for x
    x = 42,853,078.95/6,799.86
  6. Step 6: Final answer
    x = 6,302.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.