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Finding the Fourth Proportional to 6,536,970.76, 9,821,470.30 and 6,174,410.44

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Solution

The fourth proportional to 6,536,970.76, 9,821,470.30 and 6,174,410.44 is: 9,276,741.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536,970.76 : 9,821,470.30 = 6,174,410.44 : x
  2. Step 2: Convert to fraction form
    6,536,970.76/9,821,470.30 = 6,174,410.44/x
  3. Step 3: Cross multiply
    6,536,970.76x = 9,821,470.30 × 6,174,410.44
  4. Step 4: Simplify right side
    6,536,970.76x = 60,641,788,756,469.94
  5. Step 5: Solve for x
    x = 60,641,788,756,469.94/6,536,970.76
  6. Step 6: Final answer
    x = 9,276,741.63

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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.