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Finding the Fourth Proportional to 6,308.74, 8,706.45 and 3,514.24

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Solution

The fourth proportional to 6,308.74, 8,706.45 and 3,514.24 is: 4,849.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308.74 : 8,706.45 = 3,514.24 : x
  2. Step 2: Convert to fraction form
    6,308.74/8,706.45 = 3,514.24/x
  3. Step 3: Cross multiply
    6,308.74x = 8,706.45 × 3,514.24
  4. Step 4: Simplify right side
    6,308.74x = 30,596,554.85
  5. Step 5: Solve for x
    x = 30,596,554.85/6,308.74
  6. Step 6: Final answer
    x = 4,849.87

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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.