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Finding the Fourth Proportional to 6,670.70, 10,006.25 and 2,288.09

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Solution

The fourth proportional to 6,670.70, 10,006.25 and 2,288.09 is: 3,432.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,670.70 : 10,006.25 = 2,288.09 : x
  2. Step 2: Convert to fraction form
    6,670.70/10,006.25 = 2,288.09/x
  3. Step 3: Cross multiply
    6,670.70x = 10,006.25 × 2,288.09
  4. Step 4: Simplify right side
    6,670.70x = 22,895,243.81
  5. Step 5: Solve for x
    x = 22,895,243.81/6,670.70
  6. Step 6: Final answer
    x = 3,432.21

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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.