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Finding the Fourth Proportional to 23,529.64, 35,290.68 and 7,734.64

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Solution

The fourth proportional to 23,529.64, 35,290.68 and 7,734.64 is: 11,600.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,529.64 : 35,290.68 = 7,734.64 : x
  2. Step 2: Convert to fraction form
    23,529.64/35,290.68 = 7,734.64/x
  3. Step 3: Cross multiply
    23,529.64x = 35,290.68 × 7,734.64
  4. Step 4: Simplify right side
    23,529.64x = 272,960,705.16
  5. Step 5: Solve for x
    x = 272,960,705.16/23,529.64
  6. Step 6: Final answer
    x = 11,600.72

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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.