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Finding the Fourth Proportional to 7,098.44, 9,795.60 and 4,113.99

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Solution

The fourth proportional to 7,098.44, 9,795.60 and 4,113.99 is: 5,677.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098.44 : 9,795.60 = 4,113.99 : x
  2. Step 2: Convert to fraction form
    7,098.44/9,795.60 = 4,113.99/x
  3. Step 3: Cross multiply
    7,098.44x = 9,795.60 × 4,113.99
  4. Step 4: Simplify right side
    7,098.44x = 40,299,000.44
  5. Step 5: Solve for x
    x = 40,299,000.44/7,098.44
  6. Step 6: Final answer
    x = 5,677.17

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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.