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Finding the Fourth Proportional to 9,793.64, 14,676.18 and 4,530.26

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Solution

The fourth proportional to 9,793.64, 14,676.18 and 4,530.26 is: 6,788.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.64 : 14,676.18 = 4,530.26 : x
  2. Step 2: Convert to fraction form
    9,793.64/14,676.18 = 4,530.26/x
  3. Step 3: Cross multiply
    9,793.64x = 14,676.18 × 4,530.26
  4. Step 4: Simplify right side
    9,793.64x = 66,486,911.21
  5. Step 5: Solve for x
    x = 66,486,911.21/9,793.64
  6. Step 6: Final answer
    x = 6,788.78

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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.