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Finding the Fourth Proportional to 6,467.76, 9,695.88 and 3,003.12

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Solution

The fourth proportional to 6,467.76, 9,695.88 and 3,003.12 is: 4,502.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467.76 : 9,695.88 = 3,003.12 : x
  2. Step 2: Convert to fraction form
    6,467.76/9,695.88 = 3,003.12/x
  3. Step 3: Cross multiply
    6,467.76x = 9,695.88 × 3,003.12
  4. Step 4: Simplify right side
    6,467.76x = 29,117,891.15
  5. Step 5: Solve for x
    x = 29,117,891.15/6,467.76
  6. Step 6: Final answer
    x = 4,502.01

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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.