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Finding the Fourth Proportional to 16,675.88, 25,013.82 and 6,815.16

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Solution

The fourth proportional to 16,675.88, 25,013.82 and 6,815.16 is: 10,222.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,675.88 : 25,013.82 = 6,815.16 : x
  2. Step 2: Convert to fraction form
    16,675.88/25,013.82 = 6,815.16/x
  3. Step 3: Cross multiply
    16,675.88x = 25,013.82 × 6,815.16
  4. Step 4: Simplify right side
    16,675.88x = 170,473,185.51
  5. Step 5: Solve for x
    x = 170,473,185.51/16,675.88
  6. Step 6: Final answer
    x = 10,222.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.