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Finding the Fourth Proportional to 10,676.88, 15,950.25 and 10,288.08

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Solution

The fourth proportional to 10,676.88, 15,950.25 and 10,288.08 is: 15,369.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,676.88 : 15,950.25 = 10,288.08 : x
  2. Step 2: Convert to fraction form
    10,676.88/15,950.25 = 10,288.08/x
  3. Step 3: Cross multiply
    10,676.88x = 15,950.25 × 10,288.08
  4. Step 4: Simplify right side
    10,676.88x = 164,097,448.02
  5. Step 5: Solve for x
    x = 164,097,448.02/10,676.88
  6. Step 6: Final answer
    x = 15,369.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.