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Finding the Fourth Proportional to 12,968.60, 19,415.10 and 9,696.20

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Solution

The fourth proportional to 12,968.60, 19,415.10 and 9,696.20 is: 14,516.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,968.60 : 19,415.10 = 9,696.20 : x
  2. Step 2: Convert to fraction form
    12,968.60/19,415.10 = 9,696.20/x
  3. Step 3: Cross multiply
    12,968.60x = 19,415.10 × 9,696.20
  4. Step 4: Simplify right side
    12,968.60x = 188,252,692.62
  5. Step 5: Solve for x
    x = 188,252,692.62/12,968.60
  6. Step 6: Final answer
    x = 14,516.04

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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.