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Finding the Fourth Proportional to 6,951.16, 10,424.12 and 2,270.08

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Solution

The fourth proportional to 6,951.16, 10,424.12 and 2,270.08 is: 3,404.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,951.16 : 10,424.12 = 2,270.08 : x
  2. Step 2: Convert to fraction form
    6,951.16/10,424.12 = 2,270.08/x
  3. Step 3: Cross multiply
    6,951.16x = 10,424.12 × 2,270.08
  4. Step 4: Simplify right side
    6,951.16x = 23,663,586.33
  5. Step 5: Solve for x
    x = 23,663,586.33/6,951.16
  6. Step 6: Final answer
    x = 3,404.26

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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.