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Finding the Fourth Proportional to 6,890,537.16, 10,335,018.42 and 1,842,241.32

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Solution

The fourth proportional to 6,890,537.16, 10,335,018.42 and 1,842,241.32 is: 2,763,151.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,890,537.16 : 10,335,018.42 = 1,842,241.32 : x
  2. Step 2: Convert to fraction form
    6,890,537.16/10,335,018.42 = 1,842,241.32/x
  3. Step 3: Cross multiply
    6,890,537.16x = 10,335,018.42 × 1,842,241.32
  4. Step 4: Simplify right side
    6,890,537.16x = 19,039,597,976,285.11
  5. Step 5: Solve for x
    x = 19,039,597,976,285.11/6,890,537.16
  6. Step 6: Final answer
    x = 2,763,151.48

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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.