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Finding the Fourth Proportional to 6,414.85, 8,852.85 and 4,527.05

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Solution

The fourth proportional to 6,414.85, 8,852.85 and 4,527.05 is: 6,247.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.85 : 8,852.85 = 4,527.05 : x
  2. Step 2: Convert to fraction form
    6,414.85/8,852.85 = 4,527.05/x
  3. Step 3: Cross multiply
    6,414.85x = 8,852.85 × 4,527.05
  4. Step 4: Simplify right side
    6,414.85x = 40,077,250.33
  5. Step 5: Solve for x
    x = 40,077,250.33/6,414.85
  6. Step 6: Final answer
    x = 6,247.58

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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.