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Finding the Fourth Proportional to 7,975.48, 11,952.69 and 6,119.50

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Solution

The fourth proportional to 7,975.48, 11,952.69 and 6,119.50 is: 9,171.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,975.48 : 11,952.69 = 6,119.50 : x
  2. Step 2: Convert to fraction form
    7,975.48/11,952.69 = 6,119.50/x
  3. Step 3: Cross multiply
    7,975.48x = 11,952.69 × 6,119.50
  4. Step 4: Simplify right side
    7,975.48x = 73,144,486.46
  5. Step 5: Solve for x
    x = 73,144,486.46/7,975.48
  6. Step 6: Final answer
    x = 9,171.17

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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.