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Finding the Fourth Proportional to 10,510.14, 14,504 and 5,794.42

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Solution

The fourth proportional to 10,510.14, 14,504 and 5,794.42 is: 7,996.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,510.14 : 14,504 = 5,794.42 : x
  2. Step 2: Convert to fraction form
    10,510.14/14,504 = 5,794.42/x
  3. Step 3: Cross multiply
    10,510.14x = 14,504 × 5,794.42
  4. Step 4: Simplify right side
    10,510.14x = 84,042,195.16
  5. Step 5: Solve for x
    x = 84,042,195.16/10,510.14
  6. Step 6: Final answer
    x = 7,996.30

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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.