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Finding the Fourth Proportional to 6,459.10, 9,689.26 and 2,563

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Solution

The fourth proportional to 6,459.10, 9,689.26 and 2,563 is: 3,844.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,459.10 : 9,689.26 = 2,563 : x
  2. Step 2: Convert to fraction form
    6,459.10/9,689.26 = 2,563/x
  3. Step 3: Cross multiply
    6,459.10x = 9,689.26 × 2,563
  4. Step 4: Simplify right side
    6,459.10x = 24,833,573.38
  5. Step 5: Solve for x
    x = 24,833,573.38/6,459.10
  6. Step 6: Final answer
    x = 3,844.74

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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.