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Finding the Fourth Proportional to 27,728.54, 41,592.88 and 6,952.10

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Solution

The fourth proportional to 27,728.54, 41,592.88 and 6,952.10 is: 10,428.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,728.54 : 41,592.88 = 6,952.10 : x
  2. Step 2: Convert to fraction form
    27,728.54/41,592.88 = 6,952.10/x
  3. Step 3: Cross multiply
    27,728.54x = 41,592.88 × 6,952.10
  4. Step 4: Simplify right side
    27,728.54x = 289,157,861.05
  5. Step 5: Solve for x
    x = 289,157,861.05/27,728.54
  6. Step 6: Final answer
    x = 10,428.17

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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.