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Finding the Fourth Proportional to 6,516.14, 9,774.20 and 4,577

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Solution

The fourth proportional to 6,516.14, 9,774.20 and 4,577 is: 6,865.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516.14 : 9,774.20 = 4,577 : x
  2. Step 2: Convert to fraction form
    6,516.14/9,774.20 = 4,577/x
  3. Step 3: Cross multiply
    6,516.14x = 9,774.20 × 4,577
  4. Step 4: Simplify right side
    6,516.14x = 44,736,513.40
  5. Step 5: Solve for x
    x = 44,736,513.40/6,516.14
  6. Step 6: Final answer
    x = 6,865.49

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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.