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Finding the Fourth Proportional to 7,096, 9,790.32 and 4,446.04

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Solution

The fourth proportional to 7,096, 9,790.32 and 4,446.04 is: 6,134.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096 : 9,790.32 = 4,446.04 : x
  2. Step 2: Convert to fraction form
    7,096/9,790.32 = 4,446.04/x
  3. Step 3: Cross multiply
    7,096x = 9,790.32 × 4,446.04
  4. Step 4: Simplify right side
    7,096x = 43,528,154.33
  5. Step 5: Solve for x
    x = 43,528,154.33/7,096
  6. Step 6: Final answer
    x = 6,134.18

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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.