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Finding the Fourth Proportional to 6,560,709.82, 9,833,086.16 and 4,642,173.94

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Solution

The fourth proportional to 6,560,709.82, 9,833,086.16 and 4,642,173.94 is: 6,957,615.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,560,709.82 : 9,833,086.16 = 4,642,173.94 : x
  2. Step 2: Convert to fraction form
    6,560,709.82/9,833,086.16 = 4,642,173.94/x
  3. Step 3: Cross multiply
    6,560,709.82x = 9,833,086.16 × 4,642,173.94
  4. Step 4: Simplify right side
    6,560,709.82x = 45,646,896,321,726.67
  5. Step 5: Solve for x
    x = 45,646,896,321,726.67/6,560,709.82
  6. Step 6: Final answer
    x = 6,957,615.50

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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.