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Finding the Fourth Proportional to 13,754.95, 20,635.92 and 6,364.71

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Solution

The fourth proportional to 13,754.95, 20,635.92 and 6,364.71 is: 9,548.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,754.95 : 20,635.92 = 6,364.71 : x
  2. Step 2: Convert to fraction form
    13,754.95/20,635.92 = 6,364.71/x
  3. Step 3: Cross multiply
    13,754.95x = 20,635.92 × 6,364.71
  4. Step 4: Simplify right side
    13,754.95x = 131,341,646.38
  5. Step 5: Solve for x
    x = 131,341,646.38/13,754.95
  6. Step 6: Final answer
    x = 9,548.68

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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.