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Finding the Fourth Proportional to 6,350.04, 9,527.76 and 4,892.04

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Solution

The fourth proportional to 6,350.04, 9,527.76 and 4,892.04 is: 7,340.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,350.04 : 9,527.76 = 4,892.04 : x
  2. Step 2: Convert to fraction form
    6,350.04/9,527.76 = 4,892.04/x
  3. Step 3: Cross multiply
    6,350.04x = 9,527.76 × 4,892.04
  4. Step 4: Simplify right side
    6,350.04x = 46,610,183.03
  5. Step 5: Solve for x
    x = 46,610,183.03/6,350.04
  6. Step 6: Final answer
    x = 7,340.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.