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Finding the Fourth Proportional to 6,514.73, 8,984.41 and 4,275.76

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Solution

The fourth proportional to 6,514.73, 8,984.41 and 4,275.76 is: 5,896.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.73 : 8,984.41 = 4,275.76 : x
  2. Step 2: Convert to fraction form
    6,514.73/8,984.41 = 4,275.76/x
  3. Step 3: Cross multiply
    6,514.73x = 8,984.41 × 4,275.76
  4. Step 4: Simplify right side
    6,514.73x = 38,415,180.90
  5. Step 5: Solve for x
    x = 38,415,180.90/6,514.73
  6. Step 6: Final answer
    x = 5,896.67

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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.