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Finding the Fourth Proportional to 6,364.46, 8,782.07 and 3,712.11

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Solution

The fourth proportional to 6,364.46, 8,782.07 and 3,712.11 is: 5,122.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.46 : 8,782.07 = 3,712.11 : x
  2. Step 2: Convert to fraction form
    6,364.46/8,782.07 = 3,712.11/x
  3. Step 3: Cross multiply
    6,364.46x = 8,782.07 × 3,712.11
  4. Step 4: Simplify right side
    6,364.46x = 32,599,991.31
  5. Step 5: Solve for x
    x = 32,599,991.31/6,364.46
  6. Step 6: Final answer
    x = 5,122.20

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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.