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Finding the Fourth Proportional to 13,772, 20,658 and 4,538.72

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Solution

The fourth proportional to 13,772, 20,658 and 4,538.72 is: 6,808.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772 : 20,658 = 4,538.72 : x
  2. Step 2: Convert to fraction form
    13,772/20,658 = 4,538.72/x
  3. Step 3: Cross multiply
    13,772x = 20,658 × 4,538.72
  4. Step 4: Simplify right side
    13,772x = 93,760,877.76
  5. Step 5: Solve for x
    x = 93,760,877.76/13,772
  6. Step 6: Final answer
    x = 6,808.08

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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.