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Finding the Fourth Proportional to 7,207.68, 10,804.64 and 2,823.68

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Solution

The fourth proportional to 7,207.68, 10,804.64 and 2,823.68 is: 4,232.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,207.68 : 10,804.64 = 2,823.68 : x
  2. Step 2: Convert to fraction form
    7,207.68/10,804.64 = 2,823.68/x
  3. Step 3: Cross multiply
    7,207.68x = 10,804.64 × 2,823.68
  4. Step 4: Simplify right side
    7,207.68x = 30,508,845.88
  5. Step 5: Solve for x
    x = 30,508,845.88/7,207.68
  6. Step 6: Final answer
    x = 4,232.82

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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.