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Finding the Fourth Proportional to 13,758.76, 20,638.14 and 5,545

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Solution

The fourth proportional to 13,758.76, 20,638.14 and 5,545 is: 8,317.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,758.76 : 20,638.14 = 5,545 : x
  2. Step 2: Convert to fraction form
    13,758.76/20,638.14 = 5,545/x
  3. Step 3: Cross multiply
    13,758.76x = 20,638.14 × 5,545
  4. Step 4: Simplify right side
    13,758.76x = 114,438,486.30
  5. Step 5: Solve for x
    x = 114,438,486.30/13,758.76
  6. Step 6: Final answer
    x = 8,317.50

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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.