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Finding the Fourth Proportional to 6,598.04, 9,105.29 and 3,614.06

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Solution

The fourth proportional to 6,598.04, 9,105.29 and 3,614.06 is: 4,987.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,598.04 : 9,105.29 = 3,614.06 : x
  2. Step 2: Convert to fraction form
    6,598.04/9,105.29 = 3,614.06/x
  3. Step 3: Cross multiply
    6,598.04x = 9,105.29 × 3,614.06
  4. Step 4: Simplify right side
    6,598.04x = 32,907,000.78
  5. Step 5: Solve for x
    x = 32,907,000.78/6,598.04
  6. Step 6: Final answer
    x = 4,987.39

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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.