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Finding the Fourth Proportional to 12,811.88, 17,680.40 and 7,222.88

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Solution

The fourth proportional to 12,811.88, 17,680.40 and 7,222.88 is: 9,967.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,811.88 : 17,680.40 = 7,222.88 : x
  2. Step 2: Convert to fraction form
    12,811.88/17,680.40 = 7,222.88/x
  3. Step 3: Cross multiply
    12,811.88x = 17,680.40 × 7,222.88
  4. Step 4: Simplify right side
    12,811.88x = 127,703,283.04
  5. Step 5: Solve for x
    x = 127,703,283.04/12,811.88
  6. Step 6: Final answer
    x = 9,967.57

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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.