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Finding the Fourth Proportional to 4,137.76, 6,206.64 and 1,059.76

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Solution

The fourth proportional to 4,137.76, 6,206.64 and 1,059.76 is: 1,589.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137.76 : 6,206.64 = 1,059.76 : x
  2. Step 2: Convert to fraction form
    4,137.76/6,206.64 = 1,059.76/x
  3. Step 3: Cross multiply
    4,137.76x = 6,206.64 × 1,059.76
  4. Step 4: Simplify right side
    4,137.76x = 6,577,548.81
  5. Step 5: Solve for x
    x = 6,577,548.81/4,137.76
  6. Step 6: Final answer
    x = 1,589.64

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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.