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Finding the Fourth Proportional to 13,967, 19,274.48 and 7,679.24

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Solution

The fourth proportional to 13,967, 19,274.48 and 7,679.24 is: 10,597.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,967 : 19,274.48 = 7,679.24 : x
  2. Step 2: Convert to fraction form
    13,967/19,274.48 = 7,679.24/x
  3. Step 3: Cross multiply
    13,967x = 19,274.48 × 7,679.24
  4. Step 4: Simplify right side
    13,967x = 148,013,357.80
  5. Step 5: Solve for x
    x = 148,013,357.80/13,967
  6. Step 6: Final answer
    x = 10,597.36

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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.