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Finding the Fourth Proportional to 25,751.80, 38,624.10 and 8,223.40

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Solution

The fourth proportional to 25,751.80, 38,624.10 and 8,223.40 is: 12,333.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,751.80 : 38,624.10 = 8,223.40 : x
  2. Step 2: Convert to fraction form
    25,751.80/38,624.10 = 8,223.40/x
  3. Step 3: Cross multiply
    25,751.80x = 38,624.10 × 8,223.40
  4. Step 4: Simplify right side
    25,751.80x = 317,621,423.94
  5. Step 5: Solve for x
    x = 317,621,423.94/25,751.80
  6. Step 6: Final answer
    x = 12,333.95

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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.