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Finding the Fourth Proportional to 13,897.76, 19,178.94 and 7,524.42

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Solution

The fourth proportional to 13,897.76, 19,178.94 and 7,524.42 is: 10,383.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,897.76 : 19,178.94 = 7,524.42 : x
  2. Step 2: Convert to fraction form
    13,897.76/19,178.94 = 7,524.42/x
  3. Step 3: Cross multiply
    13,897.76x = 19,178.94 × 7,524.42
  4. Step 4: Simplify right side
    13,897.76x = 144,310,499.85
  5. Step 5: Solve for x
    x = 144,310,499.85/13,897.76
  6. Step 6: Final answer
    x = 10,383.72

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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.