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Finding the Fourth Proportional to 6,476.70, 9,715.05 and 2,097.30

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Solution

The fourth proportional to 6,476.70, 9,715.05 and 2,097.30 is: 3,145.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.70 : 9,715.05 = 2,097.30 : x
  2. Step 2: Convert to fraction form
    6,476.70/9,715.05 = 2,097.30/x
  3. Step 3: Cross multiply
    6,476.70x = 9,715.05 × 2,097.30
  4. Step 4: Simplify right side
    6,476.70x = 20,375,374.37
  5. Step 5: Solve for x
    x = 20,375,374.37/6,476.70
  6. Step 6: Final answer
    x = 3,145.95

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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.