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Finding the Fourth Proportional to 6,444, 9,656.16 and 4,599

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Solution

The fourth proportional to 6,444, 9,656.16 and 4,599 is: 6,891.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,444 : 9,656.16 = 4,599 : x
  2. Step 2: Convert to fraction form
    6,444/9,656.16 = 4,599/x
  3. Step 3: Cross multiply
    6,444x = 9,656.16 × 4,599
  4. Step 4: Simplify right side
    6,444x = 44,408,679.84
  5. Step 5: Solve for x
    x = 44,408,679.84/6,444
  6. Step 6: Final answer
    x = 6,891.48

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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.