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Finding the Fourth Proportional to 4,752.96, 7,129.92 and 1,632.96

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Solution

The fourth proportional to 4,752.96, 7,129.92 and 1,632.96 is: 2,449.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,752.96 : 7,129.92 = 1,632.96 : x
  2. Step 2: Convert to fraction form
    4,752.96/7,129.92 = 1,632.96/x
  3. Step 3: Cross multiply
    4,752.96x = 7,129.92 × 1,632.96
  4. Step 4: Simplify right side
    4,752.96x = 11,642,874.16
  5. Step 5: Solve for x
    x = 11,642,874.16/4,752.96
  6. Step 6: Final answer
    x = 2,449.60

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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.