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Finding the Fourth Proportional to 4,764.61, 7,144.08 and 4,118.23

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Solution

The fourth proportional to 4,764.61, 7,144.08 and 4,118.23 is: 6,174.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.61 : 7,144.08 = 4,118.23 : x
  2. Step 2: Convert to fraction form
    4,764.61/7,144.08 = 4,118.23/x
  3. Step 3: Cross multiply
    4,764.61x = 7,144.08 × 4,118.23
  4. Step 4: Simplify right side
    4,764.61x = 29,420,964.58
  5. Step 5: Solve for x
    x = 29,420,964.58/4,764.61
  6. Step 6: Final answer
    x = 6,174.89

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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.