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Finding the Fourth Proportional to 8,509.44, 12,752.48 and 3,830.88

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Solution

The fourth proportional to 8,509.44, 12,752.48 and 3,830.88 is: 5,741.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.44 : 12,752.48 = 3,830.88 : x
  2. Step 2: Convert to fraction form
    8,509.44/12,752.48 = 3,830.88/x
  3. Step 3: Cross multiply
    8,509.44x = 12,752.48 × 3,830.88
  4. Step 4: Simplify right side
    8,509.44x = 48,853,220.58
  5. Step 5: Solve for x
    x = 48,853,220.58/8,509.44
  6. Step 6: Final answer
    x = 5,741.06

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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.