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Finding the Fourth Proportional to 6,905, 10,357.68 and 2,288

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Solution

The fourth proportional to 6,905, 10,357.68 and 2,288 is: 3,432.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905 : 10,357.68 = 2,288 : x
  2. Step 2: Convert to fraction form
    6,905/10,357.68 = 2,288/x
  3. Step 3: Cross multiply
    6,905x = 10,357.68 × 2,288
  4. Step 4: Simplify right side
    6,905x = 23,698,371.84
  5. Step 5: Solve for x
    x = 23,698,371.84/6,905
  6. Step 6: Final answer
    x = 3,432.06

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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.