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Finding the Fourth Proportional to 18,564.43, 27,840.16 and 7,468.24

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Solution

The fourth proportional to 18,564.43, 27,840.16 and 7,468.24 is: 11,199.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,564.43 : 27,840.16 = 7,468.24 : x
  2. Step 2: Convert to fraction form
    18,564.43/27,840.16 = 7,468.24/x
  3. Step 3: Cross multiply
    18,564.43x = 27,840.16 × 7,468.24
  4. Step 4: Simplify right side
    18,564.43x = 207,916,959.18
  5. Step 5: Solve for x
    x = 207,916,959.18/18,564.43
  6. Step 6: Final answer
    x = 11,199.75

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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.