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Finding the Fourth Proportional to 6,948.20, 9,588.48 and 6,383.38

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Solution

The fourth proportional to 6,948.20, 9,588.48 and 6,383.38 is: 8,809.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948.20 : 9,588.48 = 6,383.38 : x
  2. Step 2: Convert to fraction form
    6,948.20/9,588.48 = 6,383.38/x
  3. Step 3: Cross multiply
    6,948.20x = 9,588.48 × 6,383.38
  4. Step 4: Simplify right side
    6,948.20x = 61,206,911.46
  5. Step 5: Solve for x
    x = 61,206,911.46/6,948.20
  6. Step 6: Final answer
    x = 8,809.03

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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.