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Finding the Fourth Proportional to 12,823.26, 17,696.13 and 7,157.88

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Solution

The fourth proportional to 12,823.26, 17,696.13 and 7,157.88 is: 9,877.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,823.26 : 17,696.13 = 7,157.88 : x
  2. Step 2: Convert to fraction form
    12,823.26/17,696.13 = 7,157.88/x
  3. Step 3: Cross multiply
    12,823.26x = 17,696.13 × 7,157.88
  4. Step 4: Simplify right side
    12,823.26x = 126,666,775.00
  5. Step 5: Solve for x
    x = 126,666,775.00/12,823.26
  6. Step 6: Final answer
    x = 9,877.89

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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.