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Finding the Fourth Proportional to 6,666.48, 10,000.92 and 2,771.20

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Solution

The fourth proportional to 6,666.48, 10,000.92 and 2,771.20 is: 4,157.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,666.48 : 10,000.92 = 2,771.20 : x
  2. Step 2: Convert to fraction form
    6,666.48/10,000.92 = 2,771.20/x
  3. Step 3: Cross multiply
    6,666.48x = 10,000.92 × 2,771.20
  4. Step 4: Simplify right side
    6,666.48x = 27,714,549.50
  5. Step 5: Solve for x
    x = 27,714,549.50/6,666.48
  6. Step 6: Final answer
    x = 4,157.30

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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.