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Finding the Fourth Proportional to 9,375.14, 14,055.76 and 5,676.48

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Solution

The fourth proportional to 9,375.14, 14,055.76 and 5,676.48 is: 8,510.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,375.14 : 14,055.76 = 5,676.48 : x
  2. Step 2: Convert to fraction form
    9,375.14/14,055.76 = 5,676.48/x
  3. Step 3: Cross multiply
    9,375.14x = 14,055.76 × 5,676.48
  4. Step 4: Simplify right side
    9,375.14x = 79,787,240.52
  5. Step 5: Solve for x
    x = 79,787,240.52/9,375.14
  6. Step 6: Final answer
    x = 8,510.51

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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.