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Finding the Fourth Proportional to 13,696.66, 20,548.41 and 7,454.98

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Solution

The fourth proportional to 13,696.66, 20,548.41 and 7,454.98 is: 11,184.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,696.66 : 20,548.41 = 7,454.98 : x
  2. Step 2: Convert to fraction form
    13,696.66/20,548.41 = 7,454.98/x
  3. Step 3: Cross multiply
    13,696.66x = 20,548.41 × 7,454.98
  4. Step 4: Simplify right side
    13,696.66x = 153,187,985.58
  5. Step 5: Solve for x
    x = 153,187,985.58/13,696.66
  6. Step 6: Final answer
    x = 11,184.33

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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.