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Finding the Fourth Proportional to 11,897.13, 17,853.78 and 6,354.46

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Solution

The fourth proportional to 11,897.13, 17,853.78 and 6,354.46 is: 9,536.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,897.13 : 17,853.78 = 6,354.46 : x
  2. Step 2: Convert to fraction form
    11,897.13/17,853.78 = 6,354.46/x
  3. Step 3: Cross multiply
    11,897.13x = 17,853.78 × 6,354.46
  4. Step 4: Simplify right side
    11,897.13x = 113,451,062.40
  5. Step 5: Solve for x
    x = 113,451,062.40/11,897.13
  6. Step 6: Final answer
    x = 9,536.00

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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.