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Finding the Fourth Proportional to 6,649,004.59, 9,973,509.65 and 1,600,315.09

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Solution

The fourth proportional to 6,649,004.59, 9,973,509.65 and 1,600,315.09 is: 2,400,473.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649,004.59 : 9,973,509.65 = 1,600,315.09 : x
  2. Step 2: Convert to fraction form
    6,649,004.59/9,973,509.65 = 1,600,315.09/x
  3. Step 3: Cross multiply
    6,649,004.59x = 9,973,509.65 × 1,600,315.09
  4. Step 4: Simplify right side
    6,649,004.59x = 15,960,757,993,155.62
  5. Step 5: Solve for x
    x = 15,960,757,993,155.62/6,649,004.59
  6. Step 6: Final answer
    x = 2,400,473.30

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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.