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Finding the Fourth Proportional to 6,372.32, 9,514.88 and 5,709.92

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Solution

The fourth proportional to 6,372.32, 9,514.88 and 5,709.92 is: 8,525.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,372.32 : 9,514.88 = 5,709.92 : x
  2. Step 2: Convert to fraction form
    6,372.32/9,514.88 = 5,709.92/x
  3. Step 3: Cross multiply
    6,372.32x = 9,514.88 × 5,709.92
  4. Step 4: Simplify right side
    6,372.32x = 54,329,203.61
  5. Step 5: Solve for x
    x = 54,329,203.61/6,372.32
  6. Step 6: Final answer
    x = 8,525.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.