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Finding the Fourth Proportional to 7,723.25, 10,594.64 and 7,517.91

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Solution

The fourth proportional to 7,723.25, 10,594.64 and 7,517.91 is: 10,312.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,723.25 : 10,594.64 = 7,517.91 : x
  2. Step 2: Convert to fraction form
    7,723.25/10,594.64 = 7,517.91/x
  3. Step 3: Cross multiply
    7,723.25x = 10,594.64 × 7,517.91
  4. Step 4: Simplify right side
    7,723.25x = 79,649,512.41
  5. Step 5: Solve for x
    x = 79,649,512.41/7,723.25
  6. Step 6: Final answer
    x = 10,312.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.