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Finding the Fourth Proportional to 11,914.64, 17,853.73 and 6,368.77

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Solution

The fourth proportional to 11,914.64, 17,853.73 and 6,368.77 is: 9,543.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,914.64 : 17,853.73 = 6,368.77 : x
  2. Step 2: Convert to fraction form
    11,914.64/17,853.73 = 6,368.77/x
  3. Step 3: Cross multiply
    11,914.64x = 17,853.73 × 6,368.77
  4. Step 4: Simplify right side
    11,914.64x = 113,706,239.46
  5. Step 5: Solve for x
    x = 113,706,239.46/11,914.64
  6. Step 6: Final answer
    x = 9,543.41

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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.