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Finding the Fourth Proportional to 6,642,893.40, 9,964,340.10 and 2,155,169.40

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Solution

The fourth proportional to 6,642,893.40, 9,964,340.10 and 2,155,169.40 is: 3,232,754.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642,893.40 : 9,964,340.10 = 2,155,169.40 : x
  2. Step 2: Convert to fraction form
    6,642,893.40/9,964,340.10 = 2,155,169.40/x
  3. Step 3: Cross multiply
    6,642,893.40x = 9,964,340.10 × 2,155,169.40
  4. Step 4: Simplify right side
    6,642,893.40x = 21,474,840,874,712.94
  5. Step 5: Solve for x
    x = 21,474,840,874,712.94/6,642,893.40
  6. Step 6: Final answer
    x = 3,232,754.10

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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.