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Finding the Fourth Proportional to 10,503.86, 15,739.38 and 6,600.07

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Solution

The fourth proportional to 10,503.86, 15,739.38 and 6,600.07 is: 9,889.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,503.86 : 15,739.38 = 6,600.07 : x
  2. Step 2: Convert to fraction form
    10,503.86/15,739.38 = 6,600.07/x
  3. Step 3: Cross multiply
    10,503.86x = 15,739.38 × 6,600.07
  4. Step 4: Simplify right side
    10,503.86x = 103,880,898.06
  5. Step 5: Solve for x
    x = 103,880,898.06/10,503.86
  6. Step 6: Final answer
    x = 9,889.78

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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.