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Finding the Fourth Proportional to 15,107.40, 22,682.70 and 8,546.40

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Solution

The fourth proportional to 15,107.40, 22,682.70 and 8,546.40 is: 12,831.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,107.40 : 22,682.70 = 8,546.40 : x
  2. Step 2: Convert to fraction form
    15,107.40/22,682.70 = 8,546.40/x
  3. Step 3: Cross multiply
    15,107.40x = 22,682.70 × 8,546.40
  4. Step 4: Simplify right side
    15,107.40x = 193,855,427.28
  5. Step 5: Solve for x
    x = 193,855,427.28/15,107.40
  6. Step 6: Final answer
    x = 12,831.82

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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.