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Finding the Fourth Proportional to 6,165.39, 8,511 and 4,748.58

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Solution

The fourth proportional to 6,165.39, 8,511 and 4,748.58 is: 6,555.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.39 : 8,511 = 4,748.58 : x
  2. Step 2: Convert to fraction form
    6,165.39/8,511 = 4,748.58/x
  3. Step 3: Cross multiply
    6,165.39x = 8,511 × 4,748.58
  4. Step 4: Simplify right side
    6,165.39x = 40,415,164.38
  5. Step 5: Solve for x
    x = 40,415,164.38/6,165.39
  6. Step 6: Final answer
    x = 6,555.17

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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.