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Finding the Fourth Proportional to 25,423.40, 38,138.70 and 7,891.40

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Solution

The fourth proportional to 25,423.40, 38,138.70 and 7,891.40 is: 11,838.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,423.40 : 38,138.70 = 7,891.40 : x
  2. Step 2: Convert to fraction form
    25,423.40/38,138.70 = 7,891.40/x
  3. Step 3: Cross multiply
    25,423.40x = 38,138.70 × 7,891.40
  4. Step 4: Simplify right side
    25,423.40x = 300,967,737.18
  5. Step 5: Solve for x
    x = 300,967,737.18/25,423.40
  6. Step 6: Final answer
    x = 11,838.22

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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.