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Finding the Fourth Proportional to 12,289.16, 18,422.06 and 7,834.32

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Solution

The fourth proportional to 12,289.16, 18,422.06 and 7,834.32 is: 11,744.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,289.16 : 18,422.06 = 7,834.32 : x
  2. Step 2: Convert to fraction form
    12,289.16/18,422.06 = 7,834.32/x
  3. Step 3: Cross multiply
    12,289.16x = 18,422.06 × 7,834.32
  4. Step 4: Simplify right side
    12,289.16x = 144,324,374.68
  5. Step 5: Solve for x
    x = 144,324,374.68/12,289.16
  6. Step 6: Final answer
    x = 11,744.04

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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.