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Finding the Fourth Proportional to 10,342.80, 15,514.80 and 2,947.80

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Solution

The fourth proportional to 10,342.80, 15,514.80 and 2,947.80 is: 4,421.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,342.80 : 15,514.80 = 2,947.80 : x
  2. Step 2: Convert to fraction form
    10,342.80/15,514.80 = 2,947.80/x
  3. Step 3: Cross multiply
    10,342.80x = 15,514.80 × 2,947.80
  4. Step 4: Simplify right side
    10,342.80x = 45,734,527.44
  5. Step 5: Solve for x
    x = 45,734,527.44/10,342.80
  6. Step 6: Final answer
    x = 4,421.87

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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.