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Finding the Fourth Proportional to 6,644,363.12, 9,977,357.70 and 4,101,740.98

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Solution

The fourth proportional to 6,644,363.12, 9,977,357.70 and 4,101,740.98 is: 6,159,286.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644,363.12 : 9,977,357.70 = 4,101,740.98 : x
  2. Step 2: Convert to fraction form
    6,644,363.12/9,977,357.70 = 4,101,740.98/x
  3. Step 3: Cross multiply
    6,644,363.12x = 9,977,357.70 × 4,101,740.98
  4. Step 4: Simplify right side
    6,644,363.12x = 40,924,536,913,729.01
  5. Step 5: Solve for x
    x = 40,924,536,913,729.01/6,644,363.12
  6. Step 6: Final answer
    x = 6,159,286.63

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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.