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Finding the Fourth Proportional to 6,978,151.76, 10,465,847.94 and 6,632,101.58

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Solution

The fourth proportional to 6,978,151.76, 10,465,847.94 and 6,632,101.58 is: 9,946,841.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978,151.76 : 10,465,847.94 = 6,632,101.58 : x
  2. Step 2: Convert to fraction form
    6,978,151.76/10,465,847.94 = 6,632,101.58/x
  3. Step 3: Cross multiply
    6,978,151.76x = 10,465,847.94 × 6,632,101.58
  4. Step 4: Simplify right side
    6,978,151.76x = 69,410,566,658,913.74
  5. Step 5: Solve for x
    x = 69,410,566,658,913.74/6,978,151.76
  6. Step 6: Final answer
    x = 9,946,841.09

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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.