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Finding the Fourth Proportional to 13,853.88, 19,118.25 and 7,566.25

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Solution

The fourth proportional to 13,853.88, 19,118.25 and 7,566.25 is: 10,441.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,853.88 : 19,118.25 = 7,566.25 : x
  2. Step 2: Convert to fraction form
    13,853.88/19,118.25 = 7,566.25/x
  3. Step 3: Cross multiply
    13,853.88x = 19,118.25 × 7,566.25
  4. Step 4: Simplify right side
    13,853.88x = 144,653,459.06
  5. Step 5: Solve for x
    x = 144,653,459.06/13,853.88
  6. Step 6: Final answer
    x = 10,441.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.