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Finding the Fourth Proportional to 9,294.84, 13,940.28 and 4,366.80

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Solution

The fourth proportional to 9,294.84, 13,940.28 and 4,366.80 is: 6,549.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.84 : 13,940.28 = 4,366.80 : x
  2. Step 2: Convert to fraction form
    9,294.84/13,940.28 = 4,366.80/x
  3. Step 3: Cross multiply
    9,294.84x = 13,940.28 × 4,366.80
  4. Step 4: Simplify right side
    9,294.84x = 60,874,414.70
  5. Step 5: Solve for x
    x = 60,874,414.70/9,294.84
  6. Step 6: Final answer
    x = 6,549.27

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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.