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Finding the Fourth Proportional to 6,548.43, 9,038.23 and 4,310.50

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Solution

The fourth proportional to 6,548.43, 9,038.23 and 4,310.50 is: 5,949.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.43 : 9,038.23 = 4,310.50 : x
  2. Step 2: Convert to fraction form
    6,548.43/9,038.23 = 4,310.50/x
  3. Step 3: Cross multiply
    6,548.43x = 9,038.23 × 4,310.50
  4. Step 4: Simplify right side
    6,548.43x = 38,959,257.04
  5. Step 5: Solve for x
    x = 38,959,257.04/6,548.43
  6. Step 6: Final answer
    x = 5,949.40

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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.