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Finding the Fourth Proportional to 12,309.40, 18,466.80 and 6,072.40

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Solution

The fourth proportional to 12,309.40, 18,466.80 and 6,072.40 is: 9,109.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309.40 : 18,466.80 = 6,072.40 : x
  2. Step 2: Convert to fraction form
    12,309.40/18,466.80 = 6,072.40/x
  3. Step 3: Cross multiply
    12,309.40x = 18,466.80 × 6,072.40
  4. Step 4: Simplify right side
    12,309.40x = 112,137,796.32
  5. Step 5: Solve for x
    x = 112,137,796.32/12,309.40
  6. Step 6: Final answer
    x = 9,109.93

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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.