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Finding the Fourth Proportional to 6,572, 9,859.44 and 2,468

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Solution

The fourth proportional to 6,572, 9,859.44 and 2,468 is: 3,702.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,572 : 9,859.44 = 2,468 : x
  2. Step 2: Convert to fraction form
    6,572/9,859.44 = 2,468/x
  3. Step 3: Cross multiply
    6,572x = 9,859.44 × 2,468
  4. Step 4: Simplify right side
    6,572x = 24,333,097.92
  5. Step 5: Solve for x
    x = 24,333,097.92/6,572
  6. Step 6: Final answer
    x = 3,702.54

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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.