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Finding the Fourth Proportional to 9,628.64, 14,454.48 and 5,734.88

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Solution

The fourth proportional to 9,628.64, 14,454.48 and 5,734.88 is: 8,609.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,628.64 : 14,454.48 = 5,734.88 : x
  2. Step 2: Convert to fraction form
    9,628.64/14,454.48 = 5,734.88/x
  3. Step 3: Cross multiply
    9,628.64x = 14,454.48 × 5,734.88
  4. Step 4: Simplify right side
    9,628.64x = 82,894,708.26
  5. Step 5: Solve for x
    x = 82,894,708.26/9,628.64
  6. Step 6: Final answer
    x = 8,609.18

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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.