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Finding the Fourth Proportional to 6,473.76, 9,702.54 and 2,771.68

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Solution

The fourth proportional to 6,473.76, 9,702.54 and 2,771.68 is: 4,154.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.76 : 9,702.54 = 2,771.68 : x
  2. Step 2: Convert to fraction form
    6,473.76/9,702.54 = 2,771.68/x
  3. Step 3: Cross multiply
    6,473.76x = 9,702.54 × 2,771.68
  4. Step 4: Simplify right side
    6,473.76x = 26,892,336.07
  5. Step 5: Solve for x
    x = 26,892,336.07/6,473.76
  6. Step 6: Final answer
    x = 4,154.05

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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.