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Finding the Fourth Proportional to 26,549.70, 39,825.99 and 6,828.42

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Solution

The fourth proportional to 26,549.70, 39,825.99 and 6,828.42 is: 10,243.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,549.70 : 39,825.99 = 6,828.42 : x
  2. Step 2: Convert to fraction form
    26,549.70/39,825.99 = 6,828.42/x
  3. Step 3: Cross multiply
    26,549.70x = 39,825.99 × 6,828.42
  4. Step 4: Simplify right side
    26,549.70x = 271,948,586.64
  5. Step 5: Solve for x
    x = 271,948,586.64/26,549.70
  6. Step 6: Final answer
    x = 10,243.00

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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.