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Finding the Fourth Proportional to 13,706.66, 20,563.41 and 7,464.98

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Solution

The fourth proportional to 13,706.66, 20,563.41 and 7,464.98 is: 11,199.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.66 : 20,563.41 = 7,464.98 : x
  2. Step 2: Convert to fraction form
    13,706.66/20,563.41 = 7,464.98/x
  3. Step 3: Cross multiply
    13,706.66x = 20,563.41 × 7,464.98
  4. Step 4: Simplify right side
    13,706.66x = 153,505,444.38
  5. Step 5: Solve for x
    x = 153,505,444.38/13,706.66
  6. Step 6: Final answer
    x = 11,199.33

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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.