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Finding the Fourth Proportional to 7,096.50, 9,795.60 and 4,302

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Solution

The fourth proportional to 7,096.50, 9,795.60 and 4,302 is: 5,938.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.50 : 9,795.60 = 4,302 : x
  2. Step 2: Convert to fraction form
    7,096.50/9,795.60 = 4,302/x
  3. Step 3: Cross multiply
    7,096.50x = 9,795.60 × 4,302
  4. Step 4: Simplify right side
    7,096.50x = 42,140,671.20
  5. Step 5: Solve for x
    x = 42,140,671.20/7,096.50
  6. Step 6: Final answer
    x = 5,938.23

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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.