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Finding the Fourth Proportional to 7,104.96, 10,668.96 and 6,805.44

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Solution

The fourth proportional to 7,104.96, 10,668.96 and 6,805.44 is: 10,219.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,104.96 : 10,668.96 = 6,805.44 : x
  2. Step 2: Convert to fraction form
    7,104.96/10,668.96 = 6,805.44/x
  3. Step 3: Cross multiply
    7,104.96x = 10,668.96 × 6,805.44
  4. Step 4: Simplify right side
    7,104.96x = 72,606,967.14
  5. Step 5: Solve for x
    x = 72,606,967.14/7,104.96
  6. Step 6: Final answer
    x = 10,219.19

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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.