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Finding the Fourth Proportional to 10,494.02, 15,743.77 and 4,649.27

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Solution

The fourth proportional to 10,494.02, 15,743.77 and 4,649.27 is: 6,975.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.02 : 15,743.77 = 4,649.27 : x
  2. Step 2: Convert to fraction form
    10,494.02/15,743.77 = 4,649.27/x
  3. Step 3: Cross multiply
    10,494.02x = 15,743.77 × 4,649.27
  4. Step 4: Simplify right side
    10,494.02x = 73,196,947.21
  5. Step 5: Solve for x
    x = 73,196,947.21/10,494.02
  6. Step 6: Final answer
    x = 6,975.11

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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.