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Finding the Fourth Proportional to 6,397,866.24, 9,596,799.37 and 2,138,034.47

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Solution

The fourth proportional to 6,397,866.24, 9,596,799.37 and 2,138,034.47 is: 3,207,051.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397,866.24 : 9,596,799.37 = 2,138,034.47 : x
  2. Step 2: Convert to fraction form
    6,397,866.24/9,596,799.37 = 2,138,034.47/x
  3. Step 3: Cross multiply
    6,397,866.24x = 9,596,799.37 × 2,138,034.47
  4. Step 4: Simplify right side
    6,397,866.24x = 20,518,287,809,422.83
  5. Step 5: Solve for x
    x = 20,518,287,809,422.83/6,397,866.24
  6. Step 6: Final answer
    x = 3,207,051.70

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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.