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Finding the Fourth Proportional to 7,808.96, 11,713.44 and 5,731.04

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Solution

The fourth proportional to 7,808.96, 11,713.44 and 5,731.04 is: 8,596.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.96 : 11,713.44 = 5,731.04 : x
  2. Step 2: Convert to fraction form
    7,808.96/11,713.44 = 5,731.04/x
  3. Step 3: Cross multiply
    7,808.96x = 11,713.44 × 5,731.04
  4. Step 4: Simplify right side
    7,808.96x = 67,130,193.18
  5. Step 5: Solve for x
    x = 67,130,193.18/7,808.96
  6. Step 6: Final answer
    x = 8,596.56

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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.