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Finding the Fourth Proportional to 13,433.76, 20,141.01 and 6,314.01

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Solution

The fourth proportional to 13,433.76, 20,141.01 and 6,314.01 is: 9,466.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,433.76 : 20,141.01 = 6,314.01 : x
  2. Step 2: Convert to fraction form
    13,433.76/20,141.01 = 6,314.01/x
  3. Step 3: Cross multiply
    13,433.76x = 20,141.01 × 6,314.01
  4. Step 4: Simplify right side
    13,433.76x = 127,170,538.55
  5. Step 5: Solve for x
    x = 127,170,538.55/13,433.76
  6. Step 6: Final answer
    x = 9,466.49

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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.