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Finding the Fourth Proportional to 6,599.07, 9,106.38 and 3,614.33

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Solution

The fourth proportional to 6,599.07, 9,106.38 and 3,614.33 is: 4,987.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,599.07 : 9,106.38 = 3,614.33 : x
  2. Step 2: Convert to fraction form
    6,599.07/9,106.38 = 3,614.33/x
  3. Step 3: Cross multiply
    6,599.07x = 9,106.38 × 3,614.33
  4. Step 4: Simplify right side
    6,599.07x = 32,913,462.43
  5. Step 5: Solve for x
    x = 32,913,462.43/6,599.07
  6. Step 6: Final answer
    x = 4,987.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.