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Finding the Fourth Proportional to 6,414.24, 8,853.12 and 3,762.50

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Solution

The fourth proportional to 6,414.24, 8,853.12 and 3,762.50 is: 5,193.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.24 : 8,853.12 = 3,762.50 : x
  2. Step 2: Convert to fraction form
    6,414.24/8,853.12 = 3,762.50/x
  3. Step 3: Cross multiply
    6,414.24x = 8,853.12 × 3,762.50
  4. Step 4: Simplify right side
    6,414.24x = 33,309,841.87
  5. Step 5: Solve for x
    x = 33,309,841.87/6,414.24
  6. Step 6: Final answer
    x = 5,193.11

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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.