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Finding the Fourth Proportional to 6,649,006.71, 9,973,512.80 and 1,600,317.21

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Solution

The fourth proportional to 6,649,006.71, 9,973,512.80 and 1,600,317.21 is: 2,400,476.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649,006.71 : 9,973,512.80 = 1,600,317.21 : x
  2. Step 2: Convert to fraction form
    6,649,006.71/9,973,512.80 = 1,600,317.21/x
  3. Step 3: Cross multiply
    6,649,006.71x = 9,973,512.80 × 1,600,317.21
  4. Step 4: Simplify right side
    6,649,006.71x = 15,960,784,177,995.29
  5. Step 5: Solve for x
    x = 15,960,784,177,995.29/6,649,006.71
  6. Step 6: Final answer
    x = 2,400,476.47

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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.