Home / 11,442.34-17,170-6,177.28

Finding the Fourth Proportional to 11,442.34, 17,170 and 6,177.28

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Solution

The fourth proportional to 11,442.34, 17,170 and 6,177.28 is: 9,269.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,442.34 : 17,170 = 6,177.28 : x
  2. Step 2: Convert to fraction form
    11,442.34/17,170 = 6,177.28/x
  3. Step 3: Cross multiply
    11,442.34x = 17,170 × 6,177.28
  4. Step 4: Simplify right side
    11,442.34x = 106,063,897.60
  5. Step 5: Solve for x
    x = 106,063,897.60/11,442.34
  6. Step 6: Final answer
    x = 9,269.42

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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.