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Finding the Fourth Proportional to 6,962.59, 10,440.42 and 2,218.13

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Solution

The fourth proportional to 6,962.59, 10,440.42 and 2,218.13 is: 3,326.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,962.59 : 10,440.42 = 2,218.13 : x
  2. Step 2: Convert to fraction form
    6,962.59/10,440.42 = 2,218.13/x
  3. Step 3: Cross multiply
    6,962.59x = 10,440.42 × 2,218.13
  4. Step 4: Simplify right side
    6,962.59x = 23,158,208.81
  5. Step 5: Solve for x
    x = 23,158,208.81/6,962.59
  6. Step 6: Final answer
    x = 3,326.09

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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.