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Finding the Fourth Proportional to 6,969.48, 9,618 and 3,825.96

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Solution

The fourth proportional to 6,969.48, 9,618 and 3,825.96 is: 5,279.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.48 : 9,618 = 3,825.96 : x
  2. Step 2: Convert to fraction form
    6,969.48/9,618 = 3,825.96/x
  3. Step 3: Cross multiply
    6,969.48x = 9,618 × 3,825.96
  4. Step 4: Simplify right side
    6,969.48x = 36,798,083.28
  5. Step 5: Solve for x
    x = 36,798,083.28/6,969.48
  6. Step 6: Final answer
    x = 5,279.89

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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.