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Finding the Fourth Proportional to 10,687.84, 14,749.49 and 5,972.42

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Solution

The fourth proportional to 10,687.84, 14,749.49 and 5,972.42 is: 8,242.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,687.84 : 14,749.49 = 5,972.42 : x
  2. Step 2: Convert to fraction form
    10,687.84/14,749.49 = 5,972.42/x
  3. Step 3: Cross multiply
    10,687.84x = 14,749.49 × 5,972.42
  4. Step 4: Simplify right side
    10,687.84x = 88,090,149.07
  5. Step 5: Solve for x
    x = 88,090,149.07/10,687.84
  6. Step 6: Final answer
    x = 8,242.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.