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Finding the Fourth Proportional to 6,465,731.22, 9,698,596.83 and 2,870,653.14

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Solution

The fourth proportional to 6,465,731.22, 9,698,596.83 and 2,870,653.14 is: 4,305,979.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465,731.22 : 9,698,596.83 = 2,870,653.14 : x
  2. Step 2: Convert to fraction form
    6,465,731.22/9,698,596.83 = 2,870,653.14/x
  3. Step 3: Cross multiply
    6,465,731.22x = 9,698,596.83 × 2,870,653.14
  4. Step 4: Simplify right side
    6,465,731.22x = 27,841,307,443,633.55
  5. Step 5: Solve for x
    x = 27,841,307,443,633.55/6,465,731.22
  6. Step 6: Final answer
    x = 4,305,979.71

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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.