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Finding the Fourth Proportional to 11,897.32, 17,840.80 and 6,349.42

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Solution

The fourth proportional to 11,897.32, 17,840.80 and 6,349.42 is: 9,521.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,897.32 : 17,840.80 = 6,349.42 : x
  2. Step 2: Convert to fraction form
    11,897.32/17,840.80 = 6,349.42/x
  3. Step 3: Cross multiply
    11,897.32x = 17,840.80 × 6,349.42
  4. Step 4: Simplify right side
    11,897.32x = 113,278,732.34
  5. Step 5: Solve for x
    x = 113,278,732.34/11,897.32
  6. Step 6: Final answer
    x = 9,521.37

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1.5x scale

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.