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Finding the Fourth Proportional to 12,232.83, 16,882.40 and 6,927.99

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Solution

The fourth proportional to 12,232.83, 16,882.40 and 6,927.99 is: 9,561.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,232.83 : 16,882.40 = 6,927.99 : x
  2. Step 2: Convert to fraction form
    12,232.83/16,882.40 = 6,927.99/x
  3. Step 3: Cross multiply
    12,232.83x = 16,882.40 × 6,927.99
  4. Step 4: Simplify right side
    12,232.83x = 116,961,063.74
  5. Step 5: Solve for x
    x = 116,961,063.74/12,232.83
  6. Step 6: Final answer
    x = 9,561.24

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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.