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Finding the Fourth Proportional to 11,713.84, 17,567.14 and 6,164.17

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Solution

The fourth proportional to 11,713.84, 17,567.14 and 6,164.17 is: 9,244.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,713.84 : 17,567.14 = 6,164.17 : x
  2. Step 2: Convert to fraction form
    11,713.84/17,567.14 = 6,164.17/x
  3. Step 3: Cross multiply
    11,713.84x = 17,567.14 × 6,164.17
  4. Step 4: Simplify right side
    11,713.84x = 108,286,837.37
  5. Step 5: Solve for x
    x = 108,286,837.37/11,713.84
  6. Step 6: Final answer
    x = 9,244.35

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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.