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Finding the Fourth Proportional to 7,284.05, 10,027.70 and 6,949.31

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Solution

The fourth proportional to 7,284.05, 10,027.70 and 6,949.31 is: 9,566.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284.05 : 10,027.70 = 6,949.31 : x
  2. Step 2: Convert to fraction form
    7,284.05/10,027.70 = 6,949.31/x
  3. Step 3: Cross multiply
    7,284.05x = 10,027.70 × 6,949.31
  4. Step 4: Simplify right side
    7,284.05x = 69,685,586.21
  5. Step 5: Solve for x
    x = 69,685,586.21/7,284.05
  6. Step 6: Final answer
    x = 9,566.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.