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Finding the Fourth Proportional to 6,768, 10,152 and 2,666.88

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Solution

The fourth proportional to 6,768, 10,152 and 2,666.88 is: 4,000.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,768 : 10,152 = 2,666.88 : x
  2. Step 2: Convert to fraction form
    6,768/10,152 = 2,666.88/x
  3. Step 3: Cross multiply
    6,768x = 10,152 × 2,666.88
  4. Step 4: Simplify right side
    6,768x = 27,074,165.76
  5. Step 5: Solve for x
    x = 27,074,165.76/6,768
  6. Step 6: Final answer
    x = 4,000.32

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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.