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Finding the Fourth Proportional to 8,554.34, 12,834.70 and 5,229.41

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Solution

The fourth proportional to 8,554.34, 12,834.70 and 5,229.41 is: 7,846.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,554.34 : 12,834.70 = 5,229.41 : x
  2. Step 2: Convert to fraction form
    8,554.34/12,834.70 = 5,229.41/x
  3. Step 3: Cross multiply
    8,554.34x = 12,834.70 × 5,229.41
  4. Step 4: Simplify right side
    8,554.34x = 67,117,831.28
  5. Step 5: Solve for x
    x = 67,117,831.28/8,554.34
  6. Step 6: Final answer
    x = 7,846.05

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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.