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Finding the Fourth Proportional to 6,955, 10,432.68 and 2,338

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Solution

The fourth proportional to 6,955, 10,432.68 and 2,338 is: 3,507.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,955 : 10,432.68 = 2,338 : x
  2. Step 2: Convert to fraction form
    6,955/10,432.68 = 2,338/x
  3. Step 3: Cross multiply
    6,955x = 10,432.68 × 2,338
  4. Step 4: Simplify right side
    6,955x = 24,391,605.84
  5. Step 5: Solve for x
    x = 24,391,605.84/6,955
  6. Step 6: Final answer
    x = 3,507.06

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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.