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Finding the Fourth Proportional to 4,764.16, 7,147.08 and 1,842.24

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Solution

The fourth proportional to 4,764.16, 7,147.08 and 1,842.24 is: 2,763.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.16 : 7,147.08 = 1,842.24 : x
  2. Step 2: Convert to fraction form
    4,764.16/7,147.08 = 1,842.24/x
  3. Step 3: Cross multiply
    4,764.16x = 7,147.08 × 1,842.24
  4. Step 4: Simplify right side
    4,764.16x = 13,166,636.66
  5. Step 5: Solve for x
    x = 13,166,636.66/4,764.16
  6. Step 6: Final answer
    x = 2,763.68

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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.