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Finding the Fourth Proportional to 6,430.11, 9,642.79 and 2,212.50

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Solution

The fourth proportional to 6,430.11, 9,642.79 and 2,212.50 is: 3,317.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.11 : 9,642.79 = 2,212.50 : x
  2. Step 2: Convert to fraction form
    6,430.11/9,642.79 = 2,212.50/x
  3. Step 3: Cross multiply
    6,430.11x = 9,642.79 × 2,212.50
  4. Step 4: Simplify right side
    6,430.11x = 21,334,711.80
  5. Step 5: Solve for x
    x = 21,334,711.80/6,430.11
  6. Step 6: Final answer
    x = 3,317.94

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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.