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Finding the Fourth Proportional to 6,711, 10,068.29 and 2,328.45

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Solution

The fourth proportional to 6,711, 10,068.29 and 2,328.45 is: 3,493.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711 : 10,068.29 = 2,328.45 : x
  2. Step 2: Convert to fraction form
    6,711/10,068.29 = 2,328.45/x
  3. Step 3: Cross multiply
    6,711x = 10,068.29 × 2,328.45
  4. Step 4: Simplify right side
    6,711x = 23,443,509.85
  5. Step 5: Solve for x
    x = 23,443,509.85/6,711
  6. Step 6: Final answer
    x = 3,493.30

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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.