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Finding the Fourth Proportional to 6,473.32, 9,710.94 and 2,369

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Solution

The fourth proportional to 6,473.32, 9,710.94 and 2,369 is: 3,553.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.32 : 9,710.94 = 2,369 : x
  2. Step 2: Convert to fraction form
    6,473.32/9,710.94 = 2,369/x
  3. Step 3: Cross multiply
    6,473.32x = 9,710.94 × 2,369
  4. Step 4: Simplify right side
    6,473.32x = 23,005,216.86
  5. Step 5: Solve for x
    x = 23,005,216.86/6,473.32
  6. Step 6: Final answer
    x = 3,553.85

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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.