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Finding the Fourth Proportional to 12,605.44, 18,914.54 and 5,215.20

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Solution

The fourth proportional to 12,605.44, 18,914.54 and 5,215.20 is: 7,825.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,605.44 : 18,914.54 = 5,215.20 : x
  2. Step 2: Convert to fraction form
    12,605.44/18,914.54 = 5,215.20/x
  3. Step 3: Cross multiply
    12,605.44x = 18,914.54 × 5,215.20
  4. Step 4: Simplify right side
    12,605.44x = 98,643,133.06
  5. Step 5: Solve for x
    x = 98,643,133.06/12,605.44
  6. Step 6: Final answer
    x = 7,825.44

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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.