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Finding the Fourth Proportional to 4,713.12, 7,051.92 and 4,234.08

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Solution

The fourth proportional to 4,713.12, 7,051.92 and 4,234.08 is: 6,335.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.12 : 7,051.92 = 4,234.08 : x
  2. Step 2: Convert to fraction form
    4,713.12/7,051.92 = 4,234.08/x
  3. Step 3: Cross multiply
    4,713.12x = 7,051.92 × 4,234.08
  4. Step 4: Simplify right side
    4,713.12x = 29,858,393.43
  5. Step 5: Solve for x
    x = 29,858,393.43/4,713.12
  6. Step 6: Final answer
    x = 6,335.17

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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.