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Finding the Fourth Proportional to 12,232.48, 16,880.80 and 6,643.48

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Solution

The fourth proportional to 12,232.48, 16,880.80 and 6,643.48 is: 9,167.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,232.48 : 16,880.80 = 6,643.48 : x
  2. Step 2: Convert to fraction form
    12,232.48/16,880.80 = 6,643.48/x
  3. Step 3: Cross multiply
    12,232.48x = 16,880.80 × 6,643.48
  4. Step 4: Simplify right side
    12,232.48x = 112,147,257.18
  5. Step 5: Solve for x
    x = 112,147,257.18/12,232.48
  6. Step 6: Final answer
    x = 9,167.99

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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.