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Finding the Fourth Proportional to 12,232, 16,880.16 and 7,516.16

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Solution

The fourth proportional to 12,232, 16,880.16 and 7,516.16 is: 10,372.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,232 : 16,880.16 = 7,516.16 : x
  2. Step 2: Convert to fraction form
    12,232/16,880.16 = 7,516.16/x
  3. Step 3: Cross multiply
    12,232x = 16,880.16 × 7,516.16
  4. Step 4: Simplify right side
    12,232x = 126,873,983.39
  5. Step 5: Solve for x
    x = 126,873,983.39/12,232
  6. Step 6: Final answer
    x = 10,372.30

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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.