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Finding the Fourth Proportional to 7,098.18, 9,795.24 and 4,113.96

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Solution

The fourth proportional to 7,098.18, 9,795.24 and 4,113.96 is: 5,677.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098.18 : 9,795.24 = 4,113.96 : x
  2. Step 2: Convert to fraction form
    7,098.18/9,795.24 = 4,113.96/x
  3. Step 3: Cross multiply
    7,098.18x = 9,795.24 × 4,113.96
  4. Step 4: Simplify right side
    7,098.18x = 40,297,225.55
  5. Step 5: Solve for x
    x = 40,297,225.55/7,098.18
  6. Step 6: Final answer
    x = 5,677.12

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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.