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Finding the Fourth Proportional to 6,701,394.24, 9,976,297.05 and 6,661,536.48

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Solution

The fourth proportional to 6,701,394.24, 9,976,297.05 and 6,661,536.48 is: 9,916,961.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,701,394.24 : 9,976,297.05 = 6,661,536.48 : x
  2. Step 2: Convert to fraction form
    6,701,394.24/9,976,297.05 = 6,661,536.48/x
  3. Step 3: Cross multiply
    6,701,394.24x = 9,976,297.05 × 6,661,536.48
  4. Step 4: Simplify right side
    6,701,394.24x = 66,457,466,733,891.39
  5. Step 5: Solve for x
    x = 66,457,466,733,891.39/6,701,394.24
  6. Step 6: Final answer
    x = 9,916,961.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.