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Finding the Fourth Proportional to 6,975.96, 10,514.10 and 6,013.68

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Solution

The fourth proportional to 6,975.96, 10,514.10 and 6,013.68 is: 9,063.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,975.96 : 10,514.10 = 6,013.68 : x
  2. Step 2: Convert to fraction form
    6,975.96/10,514.10 = 6,013.68/x
  3. Step 3: Cross multiply
    6,975.96x = 10,514.10 × 6,013.68
  4. Step 4: Simplify right side
    6,975.96x = 63,228,432.89
  5. Step 5: Solve for x
    x = 63,228,432.89/6,975.96
  6. Step 6: Final answer
    x = 9,063.76

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.