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Finding the Fourth Proportional to 13,774.51, 20,661.49 and 4,540.51

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Solution

The fourth proportional to 13,774.51, 20,661.49 and 4,540.51 is: 6,810.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,774.51 : 20,661.49 = 4,540.51 : x
  2. Step 2: Convert to fraction form
    13,774.51/20,661.49 = 4,540.51/x
  3. Step 3: Cross multiply
    13,774.51x = 20,661.49 × 4,540.51
  4. Step 4: Simplify right side
    13,774.51x = 93,813,701.96
  5. Step 5: Solve for x
    x = 93,813,701.96/13,774.51
  6. Step 6: Final answer
    x = 6,810.67

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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.