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Finding the Fourth Proportional to 11,699.25, 17,474.16 and 10,586.94

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Solution

The fourth proportional to 11,699.25, 17,474.16 and 10,586.94 is: 15,812.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,699.25 : 17,474.16 = 10,586.94 : x
  2. Step 2: Convert to fraction form
    11,699.25/17,474.16 = 10,586.94/x
  3. Step 3: Cross multiply
    11,699.25x = 17,474.16 × 10,586.94
  4. Step 4: Simplify right side
    11,699.25x = 184,997,883.47
  5. Step 5: Solve for x
    x = 184,997,883.47/11,699.25
  6. Step 6: Final answer
    x = 15,812.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.