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Finding the Fourth Proportional to 12,896.80, 17,798.56 and 7,232.88

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Solution

The fourth proportional to 12,896.80, 17,798.56 and 7,232.88 is: 9,981.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,896.80 : 17,798.56 = 7,232.88 : x
  2. Step 2: Convert to fraction form
    12,896.80/17,798.56 = 7,232.88/x
  3. Step 3: Cross multiply
    12,896.80x = 17,798.56 × 7,232.88
  4. Step 4: Simplify right side
    12,896.80x = 128,734,848.65
  5. Step 5: Solve for x
    x = 128,734,848.65/12,896.80
  6. Step 6: Final answer
    x = 9,981.92

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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.