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Finding the Fourth Proportional to 6,397.40, 8,824.59 and 4,718.27

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Solution

The fourth proportional to 6,397.40, 8,824.59 and 4,718.27 is: 6,508.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.40 : 8,824.59 = 4,718.27 : x
  2. Step 2: Convert to fraction form
    6,397.40/8,824.59 = 4,718.27/x
  3. Step 3: Cross multiply
    6,397.40x = 8,824.59 × 4,718.27
  4. Step 4: Simplify right side
    6,397.40x = 41,636,754.14
  5. Step 5: Solve for x
    x = 41,636,754.14/6,397.40
  6. Step 6: Final answer
    x = 6,508.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.