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Finding the Fourth Proportional to 8,344.96, 11,516 and 4,808.16

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Solution

The fourth proportional to 8,344.96, 11,516 and 4,808.16 is: 6,635.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,344.96 : 11,516 = 4,808.16 : x
  2. Step 2: Convert to fraction form
    8,344.96/11,516 = 4,808.16/x
  3. Step 3: Cross multiply
    8,344.96x = 11,516 × 4,808.16
  4. Step 4: Simplify right side
    8,344.96x = 55,370,770.56
  5. Step 5: Solve for x
    x = 55,370,770.56/8,344.96
  6. Step 6: Final answer
    x = 6,635.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.