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Finding the Fourth Proportional to 7,752.10, 11,633.10 and 2,821.30

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Solution

The fourth proportional to 7,752.10, 11,633.10 and 2,821.30 is: 4,233.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752.10 : 11,633.10 = 2,821.30 : x
  2. Step 2: Convert to fraction form
    7,752.10/11,633.10 = 2,821.30/x
  3. Step 3: Cross multiply
    7,752.10x = 11,633.10 × 2,821.30
  4. Step 4: Simplify right side
    7,752.10x = 32,820,465.03
  5. Step 5: Solve for x
    x = 32,820,465.03/7,752.10
  6. Step 6: Final answer
    x = 4,233.75

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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.