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Finding the Fourth Proportional to 7,605.48, 10,496.94 and 4,920

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Solution

The fourth proportional to 7,605.48, 10,496.94 and 4,920 is: 6,790.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,605.48 : 10,496.94 = 4,920 : x
  2. Step 2: Convert to fraction form
    7,605.48/10,496.94 = 4,920/x
  3. Step 3: Cross multiply
    7,605.48x = 10,496.94 × 4,920
  4. Step 4: Simplify right side
    7,605.48x = 51,644,944.80
  5. Step 5: Solve for x
    x = 51,644,944.80/7,605.48
  6. Step 6: Final answer
    x = 6,790.49

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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.