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Finding the Fourth Proportional to 10,971.65, 16,452.92 and 6,805.42

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Solution

The fourth proportional to 10,971.65, 16,452.92 and 6,805.42 is: 10,205.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,971.65 : 16,452.92 = 6,805.42 : x
  2. Step 2: Convert to fraction form
    10,971.65/16,452.92 = 6,805.42/x
  3. Step 3: Cross multiply
    10,971.65x = 16,452.92 × 6,805.42
  4. Step 4: Simplify right side
    10,971.65x = 111,969,006.71
  5. Step 5: Solve for x
    x = 111,969,006.71/10,971.65
  6. Step 6: Final answer
    x = 10,205.30

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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.