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Finding the Fourth Proportional to 10,644.01, 15,964.19 and 2,851

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Solution

The fourth proportional to 10,644.01, 15,964.19 and 2,851 is: 4,276.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,644.01 : 15,964.19 = 2,851 : x
  2. Step 2: Convert to fraction form
    10,644.01/15,964.19 = 2,851/x
  3. Step 3: Cross multiply
    10,644.01x = 15,964.19 × 2,851
  4. Step 4: Simplify right side
    10,644.01x = 45,513,905.69
  5. Step 5: Solve for x
    x = 45,513,905.69/10,644.01
  6. Step 6: Final answer
    x = 4,276.01

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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.