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Finding the Fourth Proportional to 7,257.84, 10,890.84 and 3,097.45

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Solution

The fourth proportional to 7,257.84, 10,890.84 and 3,097.45 is: 4,647.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,257.84 : 10,890.84 = 3,097.45 : x
  2. Step 2: Convert to fraction form
    7,257.84/10,890.84 = 3,097.45/x
  3. Step 3: Cross multiply
    7,257.84x = 10,890.84 × 3,097.45
  4. Step 4: Simplify right side
    7,257.84x = 33,733,832.36
  5. Step 5: Solve for x
    x = 33,733,832.36/7,257.84
  6. Step 6: Final answer
    x = 4,647.92

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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.