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Finding the Fourth Proportional to 6,806.72, 9,387.52 and 5,749.68

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Solution

The fourth proportional to 6,806.72, 9,387.52 and 5,749.68 is: 7,929.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.72 : 9,387.52 = 5,749.68 : x
  2. Step 2: Convert to fraction form
    6,806.72/9,387.52 = 5,749.68/x
  3. Step 3: Cross multiply
    6,806.72x = 9,387.52 × 5,749.68
  4. Step 4: Simplify right side
    6,806.72x = 53,975,235.99
  5. Step 5: Solve for x
    x = 53,975,235.99/6,806.72
  6. Step 6: Final answer
    x = 7,929.70

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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.