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Finding the Fourth Proportional to 10,649.96, 14,698.03 and 6,402.39

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Solution

The fourth proportional to 10,649.96, 14,698.03 and 6,402.39 is: 8,835.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.96 : 14,698.03 = 6,402.39 : x
  2. Step 2: Convert to fraction form
    10,649.96/14,698.03 = 6,402.39/x
  3. Step 3: Cross multiply
    10,649.96x = 14,698.03 × 6,402.39
  4. Step 4: Simplify right side
    10,649.96x = 94,102,520.29
  5. Step 5: Solve for x
    x = 94,102,520.29/10,649.96
  6. Step 6: Final answer
    x = 8,835.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.