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Finding the Fourth Proportional to 7,083.45, 9,770 and 4,842.99

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Solution

The fourth proportional to 7,083.45, 9,770 and 4,842.99 is: 6,679.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083.45 : 9,770 = 4,842.99 : x
  2. Step 2: Convert to fraction form
    7,083.45/9,770 = 4,842.99/x
  3. Step 3: Cross multiply
    7,083.45x = 9,770 × 4,842.99
  4. Step 4: Simplify right side
    7,083.45x = 47,316,012.30
  5. Step 5: Solve for x
    x = 47,316,012.30/7,083.45
  6. Step 6: Final answer
    x = 6,679.80

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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.