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Finding the Fourth Proportional to 13,729.76, 20,597.08 and 4,976.90

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Solution

The fourth proportional to 13,729.76, 20,597.08 and 4,976.90 is: 7,466.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,729.76 : 20,597.08 = 4,976.90 : x
  2. Step 2: Convert to fraction form
    13,729.76/20,597.08 = 4,976.90/x
  3. Step 3: Cross multiply
    13,729.76x = 20,597.08 × 4,976.90
  4. Step 4: Simplify right side
    13,729.76x = 102,509,607.45
  5. Step 5: Solve for x
    x = 102,509,607.45/13,729.76
  6. Step 6: Final answer
    x = 7,466.23

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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.