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Finding the Fourth Proportional to 18,551.20, 27,830.94 and 6,864.16

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Solution

The fourth proportional to 18,551.20, 27,830.94 and 6,864.16 is: 10,297.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,551.20 : 27,830.94 = 6,864.16 : x
  2. Step 2: Convert to fraction form
    18,551.20/27,830.94 = 6,864.16/x
  3. Step 3: Cross multiply
    18,551.20x = 27,830.94 × 6,864.16
  4. Step 4: Simplify right side
    18,551.20x = 191,036,025.11
  5. Step 5: Solve for x
    x = 191,036,025.11/18,551.20
  6. Step 6: Final answer
    x = 10,297.77

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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.