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Finding the Fourth Proportional to 10,598.04, 14,626.17 and 7,067.25

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Solution

The fourth proportional to 10,598.04, 14,626.17 and 7,067.25 is: 9,753.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,598.04 : 14,626.17 = 7,067.25 : x
  2. Step 2: Convert to fraction form
    10,598.04/14,626.17 = 7,067.25/x
  3. Step 3: Cross multiply
    10,598.04x = 14,626.17 × 7,067.25
  4. Step 4: Simplify right side
    10,598.04x = 103,366,799.93
  5. Step 5: Solve for x
    x = 103,366,799.93/10,598.04
  6. Step 6: Final answer
    x = 9,753.39

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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.