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Finding the Fourth Proportional to 6,511.84, 9,757.51 and 5,034.67

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Solution

The fourth proportional to 6,511.84, 9,757.51 and 5,034.67 is: 7,544.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.84 : 9,757.51 = 5,034.67 : x
  2. Step 2: Convert to fraction form
    6,511.84/9,757.51 = 5,034.67/x
  3. Step 3: Cross multiply
    6,511.84x = 9,757.51 × 5,034.67
  4. Step 4: Simplify right side
    6,511.84x = 49,125,805.89
  5. Step 5: Solve for x
    x = 49,125,805.89/6,511.84
  6. Step 6: Final answer
    x = 7,544.08

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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.