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Finding the Fourth Proportional to 6,861, 10,291.50 and 1,666.89

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Solution

The fourth proportional to 6,861, 10,291.50 and 1,666.89 is: 2,500.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,861 : 10,291.50 = 1,666.89 : x
  2. Step 2: Convert to fraction form
    6,861/10,291.50 = 1,666.89/x
  3. Step 3: Cross multiply
    6,861x = 10,291.50 × 1,666.89
  4. Step 4: Simplify right side
    6,861x = 17,154,798.44
  5. Step 5: Solve for x
    x = 17,154,798.44/6,861
  6. Step 6: Final answer
    x = 2,500.34

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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.