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Finding the Fourth Proportional to 23,309.68, 34,968.08 and 7,730.96

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Solution

The fourth proportional to 23,309.68, 34,968.08 and 7,730.96 is: 11,597.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,309.68 : 34,968.08 = 7,730.96 : x
  2. Step 2: Convert to fraction form
    23,309.68/34,968.08 = 7,730.96/x
  3. Step 3: Cross multiply
    23,309.68x = 34,968.08 × 7,730.96
  4. Step 4: Simplify right side
    23,309.68x = 270,336,827.76
  5. Step 5: Solve for x
    x = 270,336,827.76/23,309.68
  6. Step 6: Final answer
    x = 11,597.62

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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.