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Finding the Fourth Proportional to 7,884.30, 11,826.42 and 2,337.68

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Solution

The fourth proportional to 7,884.30, 11,826.42 and 2,337.68 is: 3,506.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.30 : 11,826.42 = 2,337.68 : x
  2. Step 2: Convert to fraction form
    7,884.30/11,826.42 = 2,337.68/x
  3. Step 3: Cross multiply
    7,884.30x = 11,826.42 × 2,337.68
  4. Step 4: Simplify right side
    7,884.30x = 27,646,385.51
  5. Step 5: Solve for x
    x = 27,646,385.51/7,884.30
  6. Step 6: Final answer
    x = 3,506.51

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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.