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Finding the Fourth Proportional to 6,514.71, 9,769.47 and 2,352.47

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Solution

The fourth proportional to 6,514.71, 9,769.47 and 2,352.47 is: 3,527.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.71 : 9,769.47 = 2,352.47 : x
  2. Step 2: Convert to fraction form
    6,514.71/9,769.47 = 2,352.47/x
  3. Step 3: Cross multiply
    6,514.71x = 9,769.47 × 2,352.47
  4. Step 4: Simplify right side
    6,514.71x = 22,982,336.24
  5. Step 5: Solve for x
    x = 22,982,336.24/6,514.71
  6. Step 6: Final answer
    x = 3,527.76

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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.