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Finding the Fourth Proportional to 6,950.85, 10,420.16 and 3,612.07

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Solution

The fourth proportional to 6,950.85, 10,420.16 and 3,612.07 is: 5,414.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,950.85 : 10,420.16 = 3,612.07 : x
  2. Step 2: Convert to fraction form
    6,950.85/10,420.16 = 3,612.07/x
  3. Step 3: Cross multiply
    6,950.85x = 10,420.16 × 3,612.07
  4. Step 4: Simplify right side
    6,950.85x = 37,638,342.30
  5. Step 5: Solve for x
    x = 37,638,342.30/6,950.85
  6. Step 6: Final answer
    x = 5,414.93

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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.