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Finding the Fourth Proportional to 6,649,003.71, 9,973,508.30 and 1,600,314.21

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Solution

The fourth proportional to 6,649,003.71, 9,973,508.30 and 1,600,314.21 is: 2,400,471.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649,003.71 : 9,973,508.30 = 1,600,314.21 : x
  2. Step 2: Convert to fraction form
    6,649,003.71/9,973,508.30 = 1,600,314.21/x
  3. Step 3: Cross multiply
    6,649,003.71x = 9,973,508.30 × 1,600,314.21
  4. Step 4: Simplify right side
    6,649,003.71x = 15,960,747,054,042.55
  5. Step 5: Solve for x
    x = 15,960,747,054,042.55/6,649,003.71
  6. Step 6: Final answer
    x = 2,400,471.97

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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.