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Finding the Fourth Proportional to 6,330.94, 9,486.60 and 4,769.26

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Solution

The fourth proportional to 6,330.94, 9,486.60 and 4,769.26 is: 7,146.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,330.94 : 9,486.60 = 4,769.26 : x
  2. Step 2: Convert to fraction form
    6,330.94/9,486.60 = 4,769.26/x
  3. Step 3: Cross multiply
    6,330.94x = 9,486.60 × 4,769.26
  4. Step 4: Simplify right side
    6,330.94x = 45,244,061.92
  5. Step 5: Solve for x
    x = 45,244,061.92/6,330.94
  6. Step 6: Final answer
    x = 7,146.50

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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.