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Finding the Fourth Proportional to 6,494,100.99, 9,738,271.90 and 3,460,901.50

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Solution

The fourth proportional to 6,494,100.99, 9,738,271.90 and 3,460,901.50 is: 5,189,817.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494,100.99 : 9,738,271.90 = 3,460,901.50 : x
  2. Step 2: Convert to fraction form
    6,494,100.99/9,738,271.90 = 3,460,901.50/x
  3. Step 3: Cross multiply
    6,494,100.99x = 9,738,271.90 × 3,460,901.50
  4. Step 4: Simplify right side
    6,494,100.99x = 33,703,199,826,117.85
  5. Step 5: Solve for x
    x = 33,703,199,826,117.85/6,494,100.99
  6. Step 6: Final answer
    x = 5,189,817.63

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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.