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Finding the Fourth Proportional to 6,318.95, 9,478.43 and 2,159.00

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Solution

The fourth proportional to 6,318.95, 9,478.43 and 2,159.00 is: 3,238.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,318.95 : 9,478.43 = 2,159.00 : x
  2. Step 2: Convert to fraction form
    6,318.95/9,478.43 = 2,159.00/x
  3. Step 3: Cross multiply
    6,318.95x = 9,478.43 × 2,159.00
  4. Step 4: Simplify right side
    6,318.95x = 20,463,892.20
  5. Step 5: Solve for x
    x = 20,463,892.20/6,318.95
  6. Step 6: Final answer
    x = 3,238.49

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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.