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Finding the Fourth Proportional to 6,809.96, 10,209.51 and 6,263.24

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Solution

The fourth proportional to 6,809.96, 10,209.51 and 6,263.24 is: 9,389.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.96 : 10,209.51 = 6,263.24 : x
  2. Step 2: Convert to fraction form
    6,809.96/10,209.51 = 6,263.24/x
  3. Step 3: Cross multiply
    6,809.96x = 10,209.51 × 6,263.24
  4. Step 4: Simplify right side
    6,809.96x = 63,944,611.41
  5. Step 5: Solve for x
    x = 63,944,611.41/6,809.96
  6. Step 6: Final answer
    x = 9,389.87

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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.